# Expected value coin toss

Let X be the random number of heads obtained in n= flips of a fair (p=1/2) coin. Then X∼Binomial(n=,p=1/2),. and the expected value. Your computation is correct. An easier way might be to compute the expected winning of each flip separately, and then add them. First flip. The expected value of any random experiment is given by: E(X) = Σ x P(x) In the above case the random experiment is tossing 3 coins simultaneously. We can.
What would happen if we flipped a coin times? By posting your answer, you agree to the privacy policy and terms of service. We could make this more precise and prove it, but that would be quite a digression right now. I am pretty new to expected value, so I tried to evaluate it by multiplying the probability of each scenario with the number of flips it took to get there like taking the arithmetic mean. If you played the game 30 times, then the S. Sign up using Email and Password. Submit any pending changes before refreshing this page. What sort of game is this where you keep on paying 1 for each toss! Post as a guest Name. To each event, we assign a value of x. Your maximum expected standard deviation from the mean is small less than a head ; but if you flipped the sample coin 10, times you could have a large number of results that still centered around 5, heads. Sign up using Facebook. In the book, SE refers to the standard error of the net gain and is calculated by: This is a fair game. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. There are 6 elements in the sample space, or 6 possible outcomes that can occur. MathOverflow Mathematics Cross Validated stats Theoretical Computer Science Physics Chemistry Biology Computer Science Philosophy more The probability mass function is given as the p number of failures, n , before attaining r successes given a certain probability, p , of success in each Bernoulli trial:. Because coin flipping is memoryless, the expected value of X after flipping a tails is the same as before flipping that tails.