Compute Probabilities of Binomial Experiments
-The probability that a football game will go into overtime is 13%. What is the probability that two of three football games will go to into overtime
A) 0.044
B) 0.13
C) 0.295
D) 0.0169

Question

Quizplus · Accepted Answer

The probability of exactly two games going into overtime in a binomial experiment with n=3 trials and probability p=0.13 is calculated using the binomial probability formula: P(X=k) = C(n,k) * p^k * (1-p)^(n-k). Here, P(X=2) = C(3,2) * (0.13)^2 * (0.87)^1 = 3 * 0.0169 * 0.87 = 0.044.