Question

sam took a 15-question true-false quiz. If he randomly guesses on each question, what is the probability that sam will get 10 out of 15 questions correct? express the answer as a percent.
A.) 0.003%
B.) 0.1%
C.) 3.2%
D.) 9.2%

Answer 1

binomial probability

P(Correct) = 0.5
P(incorrect) = 0.5

P ( 10 correct out of 15 ) = 15C10 ( 0.5)^10 ( 0.5)^5 = 9.2%