3 Coin Toss Probability Calculator

So, the probability of the coin landing on heads is 1/2. Use this information to solve these problems. The theoretical probability is a number that we can compute if we have enough information about the experiment. q: the probability that the event or outcome in question will not occur in any particular. So the probability is:. Toss both coins, together for a total of 100 times. Students collect data in lists then graph the data using aa scatter plot. The p-value is the probability of obtaining a number of heads that is as extreme or more extreme. In this game, a coin is flipped, and the party will have to call heads or tails. Now we can plot the probability of winning different numbers of coin tosses. Discuss whether the maze is fair. Probability Calculator is an online statistics & probability tool to estimate the possibility of single or multiple independent, complement, mutual or non-mutual, union, intersection & conditional probability of events to occur in statistical experiments. ) An event is defined as a combination of outcomes from a random phenomenon that meet a specific criterion. If you toss a coin, you cannot get both a head and a tail at the same time, so this has zero probability. Hanif wins if all the tosses give the same result i. If two coins are flipped, it can be two heads, two tails, or a head and a tail. As n approaches infinity, P approaches 1 for any value of k. In this case, it means I should have reached two consecutive heads by the th toss. 1 ? If you draw an M&M candy at random from a bag, the candy will have one of six colors. A spinner is labeled with three colors: Red, Green and Blue. Because we assume that the coin is fair, and that the result we get on say the first $6$ tosses does not affect the probability of getting a head on the $7$-th toss, each of these $2^{10}$ ($1024$) strings is equally likely. The number of expected outcome from tossing a coin 3 times is 4. Experimentally, we may be interested in studying the number of "heads" observed after tossing the coin n times. Theoretical and experimental probability: Coin flips and die rolls. The probability of landing on each color of the spinner is always one fourth. There are two common outcomes associated with the tossing of a coin: the two events are: "Head" or "Tail". Thus, the probability of getting heads at least once during two tosses of the coin is. For example, when coins 1 and 2 are chosen, we can get an outcome which is (white, red), which was not possible. For each of the four paths ending in the coin 2 column, the third coin can come up heads or tails as indicated in the coin 3 column. Data: Assume that we have actually performed the coin flip experiment, tossing a coin n = 10 times. 5? H H H H H H H H H H ? ‹ The probability is still 0. Coin Flipper. The object which is present in centre of probability theory are random variables, stochastic processes, and events, mathematical equations of non-deterministic events for coin or measured quantities that may either be at first coin occurrences or prevent over. Probability is a branch of mathematics that deals with calculating the likelihood of a given event's occurrence, which is expressed as a number between 1 and 0. The toss of a coin, throwing dice and lottery draws are all examples of random events. You will either flip heads or tails. c) Calculate the probability of red or green on the spinner and tail on the coin. Between January 9-12, 2013, SurveyUSA interviewed a random sample of 500 NC residents asking them whether they think widespread gun ownership protects law abiding citizens from crime, or makes society more dangerous. Coin toss maze The direction you take in this maze depends on whether you toss a head or tail. Unbiased coin toss of n coins with different success values for each coin. Now, for 2 coins there will be heads, tails, head, and tails. However, what if you want to toss 2 coins simultaneously? Or say, 3, 4 or 5 coins? The outcomes of these coin tosses will differ. PDF spinner templates for in class activity. All this latest discussion about angels and pinheads was why I wanted to compare the statistics of coin tossing with that of die rolling in an earlier thread. If you're behind a web filter, please make sure that the domains *. Calculating Coin Toss Streak Probabilities I'm looking to model coin toss probabilities using Monte Carlo Sims. Parenting » Worksheets » Coin toss likely outcomes. Coin Toss Probability Calculator. Record the number of heads AND tails that result from the 10 tosses in Chart 1 under OBSERVED (keep tally marks on separate sheet of paper and place only the total in Chart 1). Now you are given a task to calculate the result of the coin toss----for each different number of intersecting hexagons, just output the probability. The probability can be also understood as expected number of successes in one trial. Probability Calculator is an online statistics & probability tool to estimate the possibility of single or multiple independent, complement, mutual or non-mutual, union, intersection & conditional probability of events to occur in statistical experiments. each coin toss doesn't affect the others. The non-disjoint event can happen at the same time. We shall consider several examples shortly. For example, if the user inputs 100 (for the amount of coin tosses), then it will toss the coin 100 times, and output the percentage of each in decimal value. The general formation of the grade 3 probability. The probability of flipping heads is 0. Hint: There's a faster way of repeating this experiment 10 times. A coin has a probability of 0. Realize that a coin toss can be represented by a binary variable, where 0 is tails and 1 is heads. A simple calculator taking expressions as input. coin 2 or coin 3 is chosen. Imagine Scott stood at zero on a life-sized number line. So, as one possible outcome, we choose first the third trial to be a heads, and then the first trial to be a heads. For example, the outcome of a single coin toss cannot be a head and a tail, it can be either head or tails. Experimentally, we may be interested in studying the number of "heads" observed after tossing the coin n times. But you’re only 25 percent likely to win two consecutive coin flips, because there are now twice as many possible outcomes. Therefore, P(A) = Number of Successful Events ÷ Total Events of Sample Space = 2/8 = 0. With coin tossing there is only one way (and therefore one probability) to report a given outcome. Most coins have probabilities that are nearly equal to 1/2. Let us learn more about coin toss probability formula. Many important probability distributions that are widely used to model real-world. Because the coin toss is the simplest random event you can imagine, many questions about coin tossing can be asked and answered in great depth. You can toss the coin multiple times, and all these trials might have different outcomes. the angular momentum, then one could calculate the final outcome using the laws of physics. Maximum Likelihood. Let Xrepresent the amount won. Almost all problems. But you’re only 25 percent likely to win two consecutive coin flips, because there are now twice as many possible outcomes. In this case, using the fundamental counting principle is a far easier option. , three heads or three tails, and loses otherwise. Competitive exams are all about time. Probability models A probability model, or probabilistic model, assigns probabilities to all of the events in a given sample space. The outcome of each trial is. To calculate the coin toss odds for any other result the method is the same. The problem is to find the probability of landing at a given spot after a given number of steps, and, in particular, to find how far away you are on average from where you started. 5^50, for each, should it not?. We want to track how many of those 10 coin tosses result in heads. Sunday, March 29, 2009. Probability of profit (POP) refers to the chance of making at least $0. If each question has four choices and you guess on each question, what is the probability of getting exactly 7 questions correct? n = 10 k = 7 n – k = 3 p = 0. The coin toss, for a fair coin, will give a probability (p) of. You will get the answer for Empirical Probability without getting into the complex process of actually calculating anything. Coin Toss Probability Calculator Coin toss also known as coin flipping probability is used by people around the world to judge whether its going to be head or tail after flipping the coin. Marcus spun the spinner once and tossed a coin once. The Coin Toss Probability Calculator an online tool which shows Coin Toss Probability for the given input. This is a very common type of probability and can be demonstrated most easily by considering what happens when you roll a pair of dice or toss a coin in the air. If you toss a coin three times, what is the probability of flipping at least 2 heads? With three events, we will have three sets of branches on our tree. c) Calculate the probability of red or green on the spinner and tail on the coin. Suppose we toss a fair coin and continue to toss it until we rst observe \heads". We obtain a curious sample space tossing the coin until the first tail comes up. Only the second toss is tails. Why do we care about this game? The random walk is central to statistical physics. A synonym for this term is mutually exclusive. For each number of tosses from 1 to 5000, we have plotted the proportion of those tosses that gave a head. To calculate an expected value, start by writing out all of the different possible outcomes. A game consists of tossing a one rupee coin \(3\) times and noting its outcome each time. By theory, we can calculate this probability by dividing number of expected outcomes by total number of outcomes. What was the probability of selling 3 or 4 loaves on any one day? 2. Last time we talked about independence of a pair of outcomes, but we can easily go on and talk about independence of a longer sequence of outcomes. 5 probability of a coin showing heads is 0. The coin was tossed 12 times, so N = 12. In this case, it means I should have reached two consecutive heads by the th toss. The laws of probability dictate that if a coin is repeatedly tossed, over time, it will come up heads 50% of the time and tails 50% of the time. 1 respectively. Because the coin toss is the simplest random event you can imagine, many questions about coin tossing can be asked and answered in great depth. The probability that a coin will result in heads in any one toss is 1/2. So the out-dated model that a coin toss always land on either heads or tails with probability 1/2 is wrong. Example 2: Another example of classical probability would be tossing an unbiased coin. Related questions What are the four conditions that need to be satisfied for a binomial setting?. 2: Investigating Probability (Answers) Question 1 a) The probability the uniform will have black shorts is 6 3 or 2 1. Each coin represents the alleles for a parent; therefore the cross represented by the coin tosses is Tt XTt. the probability of tails is the same as heads, P(T) <=> P(H) 3. > gbinom(20, 0. The probability of getting heads on one toss of a coin is. Suppose a coin tossed then we get two possible outcomes either a ‘head’ ( H ) or a ‘tail’ ( T ), and it is impossible to predict whether the result of a toss will be a. We often used the term, “It’s a coin toss. Amazingly, there is a solution! The insight is that you can make a fair coin toss out of any biased coin, even if you do not know the bias. asked by Jonathan on March 3, 2015; Probability. The computational power of Wolfram|Alpha enables you to conduct your own Bernoulli trials and calculate the probability for a sequence of trials, any specified outcome of successes and failures, or the number of trials required to find a specific number of successes or failures. Probability Problem 3 Probability of rain being more than 35 in a given year. Now we can plot the probability of winning different numbers of coin tosses. Random number list to run experiment. Marcus spun the spinner once and tossed a coin once. Thus, if we want to calculate the probability of drawing an ace from a standard deck of playing cards, we can divide the number of outcomes in the event where an ace is drawn (4) by the total number of possible outcomes where any card is drawn (52). Use the formula for the binomial probability distribution to calculate the probabilities associated with x 0, 1, 2, and 3. Statistics and probability: 1-3 Probabilities for any number of independent events can be multiplied to get the joint probability. · For two coin flips, the probability of not obtaining at least one heads (i. The probability P of k consecutive tails occurring in n coin tosses is 1 - (1 / F) where F is element n+2 in the k-step Fibonacci series divided by 2 n. Recognize the binomial probability distribution and apply it appropriately. Mendel's laws are basically real-life applications of the rules of probability that apply to a coin toss, rolling a dice, or drawing from a deck of cards. Probabilities are shown by plots 3, where columns correspond to coins and stacked bars within a column to coin toss outcomes, and are given by the ratio of the blue area to the area of the red. Example 6 Lets continue with the dice experiment of Example 5. So the probability to get all 3 girls in front is. Determine how a compound, dependent event differs. When asked the question, what is the probability of a coin toss coming up heads, most people answer without hesitation that it is 50%, 1/2, or 0. Look at the following examples. The Hydrogen Atom of Probability to learn about coin toss statistics. Lesson 3: More practice on calculating theoretical probabilities In general, to calculate theoretical probabilities, there are three steps: 1. 0625 Similarly for the other three ways to get exactly three tails. I want it to output the probability of X amount of tosses. If I toss a coin 10 times, how many would you expect to land on heads. Three-fourths of "two coin flips" will have at least one heads. When the probability of an event is zero then the even is said to be impossible. Eg: Tossing a coin 3 times would be the same as tossing a coin thrice. 5 coming up heads (or tails): a. Although the basic probability formula isn't difficult, sometimes finding the numbers to plug into it can be tricky. for example, with the coin toss it is 1/2 * 1/2 for P(Heads) each toss. on row 15 I have cells with =RANDBETWEEN(0,1) to simulate 200 coin tosses across and have this running down 400 rows for 400 simulations. It happens to be about 24%, which tells you that there is a decent chance that the fraction of Heads will deviate moderately from 1/2. A simple example of maximum likelihood estimation. Series has the value of 1 Singles has the value of 1 Then if you get 14 series to chop with only two singles present - you would have 3 std. Divide the number of ways to achieve the desired outcome by the number of total possible outcomes to calculate the weighted probability. In earlier classes, you have had a glimpse of probability when you performed experiments like tossing of coins, throwing of dice, etc. Tally up the score, of the 10 tosses, 7 were heads and 3 were tails. What is the probability of heads in one coin toss: 1 / 2 = 0. PART A - Coin Tossing Experiment • As a class, your task is to compute the experimental and theoretical probabilities of flipping heads or tails in a virtual coin toss experiment. Intuitively, each toss would yield the same outcome. MathScore EduFighter is one of the best math games on the Internet today. The online study tool "Coin Toss Probability Calculator" has a really intense formula that explains why, but the bottom line is, the probabilities stack on each other. The quintessential representation of probability is the humble coin toss. (Super Stock) EXAMPLE 9. Enter the VBA editor by pressing ALT+F11, then press F5 and name this macro ‘coin_flipper’. What is the probability P(first toss is a head | H = 1 or H = 5)?. I want to simulate a coin toss game in which 10 coins are tossed. I'm going to use it as an example for how to calculate the probability of multiple events. This is also the probability of having 3 girls and 2 boys when all possible orders are considered. When we toss three coins simultaneously then the possible of outcomes are: (HHH) or (HHT) or (HTH) or (THH) or (HTT) or (THT) or (TTH) or (TTT) respectively; where H is denoted for head and T is denoted for tail. Manually going through the combinatorics to determine the probability of an event occuring If you're seeing this message, it means we're having trouble loading external resources on our website. This Site Might Help You. RE: How do you calculate the probability of a biased coin flipped 3 times? Lets say what is the probability of getting 2 heads of tossing the biased coin 3times if the possibility of getting a head is 0. Also learn to calculate probability of a favorable outcome, when you toss coins. ) An event is defined as a combination of outcomes from a random phenomenon that meet a specific criterion. 5, a = 45, b = 55, scale = T) Bret Larget September 17, 2003. Probability: Independent Events. The probability that two independent events will both happen is the product of the probabilities of the two single events: P(Aand B) = P(A)P(B). After two tosses, the probability is 0. But if the size is large, say over thousands, the probability won't likely happend due to chance. The formula:. If you toss a coin, it will come up a head or a tail. Random number list to run experiment. So, its 50% chance to get either one. One over two is a half, or 50 per cent. 2: Investigating Probability (Answers) Question 1 a) The probability the uniform will have black shorts is 6 3 or 2 1. You can't calculate the joint probability knowing the probability of both events occurring, which is not in the information given; the probabilities should be multiplied, not added; and probability is never greater than 100%; A home run by definition is a successful hit, so he has to have at least as many successful hits as home runs. For example if you toss a fair coin twice, the outcome of the first throw shouldn‟t affect the outcome of the second throw, so the throws are independent. 58% of all respondents said it protects citizens. Empirical Probability calculator provides for the same. Question 118734: A coin is tossed three times. The quintessential representation of probability is the humble coin toss. Introduce your child to the exciting world of probability and statistics with these worksheets that are full of real life applications. The egregious error!. Student Outcomes Given theoretical probabilities based on a chance experiment, students describe what they expect to see when they observe many outcomes of the experiment. As there are two possible outcomes -heads or tails- the sample space is 2. When the probability of an event is zero then the even is said to be impossible. If you toss a coin, you cannot get both a head and a tail at the same time, so this has zero probability. Solution:. 1 Tossing a coin and considering heads as success and tails as The probability of heads on any toss is 0:3. Coin Toss Probability Calculator. • Each coin remaining in your bank is worth 1 point each. Probability Theory on Coin Toss Space 1 Finite Probability Spaces 2 Random Variables, Distributions, and Expectations 3 Conditional Expectations. When we're talking about probability, we're talking about the number of favorable outcomes divided by the number of possible outcomes. A probability of zero means that an event is impossible. Eg: Tossing a coin 3 times would be the same as tossing a coin thrice. The coin was tossed 12 times, so N = 12. com * Created by Mr Lafferty Maths Dept Probability www. First we’ll create a data frame with three columns with the number of wins in one column, the probability of winning a specific number of coin tosses, and the probability of winning that number or more coin tosses. Theoretical and experimental probability: Coin flips and die rolls. When the coin lands, that party is winner whose chosen side. Let's return to the coin-tossing experiment. The probability of success (tails, heads, fail or pass) is exactly the same from one trial to another. -For example, if we toss a fair coin, we do not know what the outcome of a single toss will be, but we do know what the outcome of a long series of tosses will be - about half "heads" and half "tails". probability of a coin showing tails is 0. This distribution has one parameter, the unobserved probability of success, p. Mutually exclusive and inclusive events, probability on odds and other challenging probability worksheets are useful for grade 6 and up students. This is a mathematical model of a fair coin flip game where a 1 results from “heads” on the i th coin toss and a − 1 results from “tails”. 5 for being in State 2 (TH or HH), and the probability is 0. Many important probability distributions that are widely used to model real-world. Suppose we want to calculate the probability that in two coin flips. When the coin came up tails, he moved one unit to the left. Suppose: the 1st coin has probability \( p_H\) of landing heads up and \( p_T\) of landing tails up;. mathworksheets4kids. Longest run coin toss Simulation for the longest run in 20 coin flips and 50 coin flips in a row. EXPERIMENTAL RESULTS • Please fill in the following table as you perform several coin tossing experiments as a class. Applying it to all values of k equal to or greater than 16 will yield the probability of getting 16 or more heads in 20 tosses, while applying it to all values of k equal to or smaller than 16 will give the probability of getting 16 or fewer heads in 20 tosses. There are eight different possibilities, four of which give at least two heads. ” Or “flip a coin. The coin will be tossed until your desired run in heads is achieved. Definition of Probability number of possible outcomes number of favorabale outcomes P event _ _ _ _ _ _ ( ) = 3. Define the following events. ) List the sample space. This relates especially well to roulette as a Heads or Tails coin toss kinda relates to Red or Black (not quite because of those pesky zeroes and double zeroes (and some other mechanical factors)). So the standard. Although the basic probability formula isn't difficult, sometimes finding the numbers to plug into it can be tricky. Find the probability of landing on the head side of the coin and rolling a 3 on the die. The lines connecting the first coin outcomes and the second coin outcomes represent paths (or branches) through the tree structure. If the probability of getting at least one contract is 4/5, what is the probability that he will get both the contracts ? Solution Here P(A) = 2/3, P(B) = 5/9. each coin toss doesn't affect the others. Afterwards, I want to repeat this simulation 100 times. The parabola equation cal be expressed in two ways, standard form and vertex form. Hence, the number of possible outcomes is 2. If Bernoulli were alive today, he would love football, since every game during the regular NFL season, playoffs and Super Bowl starts with a Bernoulli trial (coin toss). , HHH) Trial 1 Trial 2 Trial 3 Coin flipping experiment with 3 trials Why Probability?. Rule of multiplication: Segregation of the alleles into gametes is like a coin toss (heads or tails = equal probability). the coin does not and can not "remember" last result. And an event is a subset of the sample space. (The denominator will always be the number of times you toss the coin, and the numerator will be the outcome you are measuring, such as. The probability of success (tails, heads, fail or pass) is exactly the same from one trial to another. Then the probability of getting head is 3/10. This relates especially well to roulette as a Heads or Tails coin toss kinda relates to Red or Black (not quite because of those pesky zeroes and double zeroes (and some other mechanical factors)). You can't calculate the joint probability knowing the probability of both events occurring, which is not in the information given; the probabilities should be multiplied, not added; and probability is never greater than 100%; A home run by definition is a successful hit, so he has to have at least as many successful hits as home runs. 01 on a trade. c) Calculate the probability of red or green on the spinner and tail on the coin. Outcome 2: The probability is 0. 5 of coming up heads. 3 is the probability of the opposite choice, so it is: 1−p. To finish the example, you would divide five by 36 to find the probability to be 0. ” to describe events that are random. For kids wanting to learn more about how to present data in a visual way, check out our graphing and data worksheets. Students explore the concept of probability. We see it used all around us, in weather forecasts, the lottery, betting on the horses and so on. The coin is weighted so that the head {H} is 3 times more likely to occur than tails. 81% My reasoning is thus: There are 10 possible outcomes with less than 10 (0 - 9) and 10 possible outcomes with more than 10 (11 - 20) The odds (whatever they may be) for no heads or 20 heads are the same, as are the odds of 9 heads or 9 tails. Thus, the probability of getting heads at least once during two tosses of the coin is. Plotting with ggplot2. Example (Coin toss game) You and a friend play a game where you each toss a balanced coin. To calculate an expected value, start by writing out all of the different possible outcomes. Likewise, each time dice is rolled whatever was rolled on the previous roll has no impact on subsequent rolls. I'm not sure what your definition of F means. The coin is weighted so that the head {H} is 3 times more likely to occur than tails. If you know how to manage time then you will surely do great in your exam. Once you have determined the probability of your event, map it out on a probability line with 0 being "impossible" and 10 being "certain". The Probability Simulation application on the TI-84 Plus graphing calculator can simulate tossing from one to three coins at a time. Press Se to access lists. The answer depends on how many times the coin is tossed. When the game is played using patterns of length 3, no matter what sequence Player A chooses, Player B can always make a winning selection. coin turned up heads or not: stating this formally, we have P (A|C) = P (A). Each observation or trial is independent. Divide Flipping more than one coin:. In the case of a coin, there are maximum two possible outcomes – head or tail. Mendel's laws are basically real-life applications of the rules of probability that apply to a coin toss, rolling a dice, or drawing from a deck of cards. If you wanted to know the probability of tossing a coin only 5 times and getting heads ever time it would be. the coin does not and can not "remember" last result. Find the probability of getting three heads in a row with a weighted coin, with a 1/3 probability of getting a head on each toss. Math Coin toss. Discrete Probability Distribution Let X be a discrete random variable that takes the numerical values X1, X2, , Xn with probabilities p(X1), p(X2), , p(Xn) respectively. You will now learn to measure the chance of occurrence of a particular outcome in an experiment. Selecting items from a set without considering the order is called as combination. com To work out a probability P(A) = Probability is ALWAYS in the range 0 to 1 We can normally attach a value to the probability of an event happening. 5 of coming up heads. Socratic Meta Featured Answers Topics How do you calculate cumulative probability? If one tosses a coin 3 times, what are the odds that 1 toss will be "heads. To calculate the coin toss odds for any other result the method is the same. 1 Tossing a coin and considering heads as success and tails as The probability of heads on any toss is 0:3. The probability the outcome of an experiment with a sufficiently large number of trials is due to chance can be calculated directly from the result, and the mean and standard deviation for the number of trials in the experiment. Three men toss a fair coin to see who pays for lunch. Calculate the probability of each of the following:. Similarly the probability of tossing an odd number on one toss of the die is 3/6 or 1/2 (since there are three favourable outcomes and six possible outcomes). 3) Go to Create a Graph. If you wanted to know the probability of tossing a coin only 5 times and getting heads ever time it would be. Solution:. Let us imagine we are dividing a larget set of blue balls and a small set of red balls into two equally-sized categories. Possible Outcomes Calculator. If you toss a coin, you cannot get both a head and a tail at the same time, so this has zero probability. Since the first Super Bowl, HEADS has come up 25 times and TAILS 28. Drawing three cards from a standard deck without replacing the cards. We shall consider several examples shortly. Rather than just guessing, probability is the mathematical way to make these kinds of predictions. Probability questions: coin toss, bag of marbles, conditional probability, and card decks Probabilities Probability of Coin Tosses using Probability Mass Function Probability : n tosses of a fair coin no run of 3 consecutive heads appears Probability of a Coin Toss Joint and marginal probability mass functions in coin toss Probability with a. Again, the probability of heads is 1/2. Coin Toss Probability Date: 05/26/2007 at 09:16:18 From: David Subject: approximate probability Suppose that you toss a balanced coin 100 times. Make the sample space (list out all the outcomes). Therefore, P(A) = Number of Successful Events ÷ Total Events of Sample Space = 2/8 = 0. Theoretical and experimental probability: Coin flips and die rolls. 5 (or 1/2), and so is the probability of getting heads on a second toss of the same coin. Heads or tails? Just flip a coin online! HEADS. We shall consider several examples shortly. A spinner is labeled with three colors: Red, Green and Blue. 1 respectively. We all know a coin toss gives you a 50% chance of winning, but is it always that way? Delve into the inner-workings of coin toss probability with this activity. When you flip a coin, you can generally get. When you flip a coin, there are two possible outcomes, heads or tails, and just one favorable outcome, the side you chose. For additional details, including an interactive probability calculator, please visit the z Score Probability Calculator. In this case, it means I should have reached two consecutive heads by the th toss. Recognize the binomial probability distribution and apply it appropriately. 2: Investigating Probability (Answers) Question 1 a) The probability the uniform will have black shorts is 6 3 or 2 1. Probability of compound events Learn how to calculate the probability of at least 2 simple events Coin toss probability When flipping a coin, what is the probability to get a head? Here coin toss probability is explored with simulated experimental coin toss data Combination calculator Find the number of combinations Permutation calculator. Coin Toss: Simulation of a coin toss allowing the user to input the number of flips. An event with a probability of 1 can be considered a certainty: for example, the probability of a coin toss resulting in either "heads" or "tails" is 1, because there are no other. When you want to calculate a real mean, Probability - Coin Tossing. Rather than just guessing, probability is the mathematical way to make these kinds of predictions. There are 36 ways to toss a coin 6 times. Tossing a coin 10 times is the same thing as tossing 10 coins once.