A fair coin is tossed. How likely is it to land half heads, half tails if it is tossed 10 times? 20 times? Statistics Binomial and Geometric Distributions Properties of a Binomial Experiment 1 Answer MattyMatty Dec 15, 2017 #"The probability is 0.246 if it is tossed 10 times and 0.176 if it"# #"is tossed 20 times."# Explanation: #C(10,5) (1/2)^10 = 0.246# #and# #C(20,10) (1/2)^20 = 0.176# #with# #C(n,k) = (n!)/((n-k)!k!)# Answer link Related questions What are the four conditions that need to be satisfied for a binomial setting? What is the definition of a "success" in a binomial setting? If you are flipping a fair coin, does the percentage of heads approach 50% as the number of... If you flip one coin four times what is the probability of getting at least two tails? What is the theoretical probability of getting k heads from n coin flips? What is the expected standard deviation of a single coin flip, where heads = 1 and tails = 0? What is the probability that a fair coin lands on heads on 4 out of 5 flips? What is the probability of getting at least one tail if a fair coin is flipped three times? Wha are the four properties of a binomial probability distribution? In a carnival game, there are six identical boxes, one of which contains a prize. Is it... See all questions in Properties of a Binomial Experiment Impact of this question 2186 views around the world You can reuse this answer Creative Commons License