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"The probability is 0.246 if it is tossed 10 times and 0.176 if it "is tossed 20 times."is tossed 20 times. Explanation: C(10,5) (1/2)^10 = 0.246C(10,5)(12)10=0.246 andand C(20,10) (1/2)^20 = 0.176C(20,10)(12)20=0.176 withwith C(n,k) = (n!)/((n-k)!k!)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 2354 views around the world You can reuse this answer Creative Commons License