Ten percent of the corporate managers at Axolotl Industries majored in humanities. If you start interviewing Axolotl managers, what is the probability that the first humanities major is the fifth manager that you interview?
A).0656
B).8561
C).5904
D).4095

Question

Quizplus · Accepted Answer

The probability that the first humanities major is the fifth manager you interview means the first four managers did not major in humanities and the fifth did. The probability of not being a humanities major is 90% (or 0.9) and for being a humanities major is 10% (or 0.1). Thus, the probability is $0.9^4 \times 0.1 = 0.6561$, which rounds to 0.656, matching closest to choice A.

Ten Percent of the Corporate Managers at Axolotl Industries Majored