Use the at least once rule to find the indicated probability.
-A study conducted at a certain college shows that 64% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 5 randomly selected
Graduates, at least one finds a job in his or her chosen field within a year of graduating.

Question

Quizplus · Accepted Answer

The probability that a randomly selected graduate finds a job in their chosen field within a year of graduating is 0.64. The probability that a randomly selected graduate does not find a job in their chosen field within a year of graduating is 0.36. The probability that none of the 5 randomly selected graduates finds a job in their chosen field within a year of graduating is 0.36^5 = 0.0102. The probability that at least one of the 5 randomly selected graduates finds a job in their chosen field within a year of graduating is 1 - 0.0102 = 0.994.

Use the at Least Once Rule to Find the Indicated