Answer to Question #285858 in Statistics and Probability for sahasra

Question

A person who wants to get a driving license, has to face two separate tests. Road test is the one of these two tests and there is a 0.75 probability that an application for a drivers’ license will pass the road test on any given try. (i) What is the probability that an applicant will pass the road test on any given try? (ii) What is the probability that an applicant will pass the test on the fourth try?

Answer 1

Answer (i):

Probability that an applicant will pass the road test on any given try = 0.75

Answer (ii):

The probability that an applicant will pass the test on the fourth try is:

$P(X=4)=(1-0.75)^3\times0.75=0.0117$