A study conducted at a certain college shows that 61% of the school's graduates find a job in their chosen field within a year after graduation.Find the probability that among 6 randomly selected graduates,at least one finds a job in his or her chosen field within a year of graduating.

A) 0.3660
B) 0.9965
C) 0.9485
D) 0.0035
E) 0.1667

Question

Precious Gastin · Accepted Answer

Final Answer : B, Explanation :  The probability that at least one graduate finds a job in their chosen field is 1 minus the probability that none of the 6 graduates find a job in their chosen field. The probability that a single graduate does not find a job in their chosen field within a year is 1 - 0.61 = 0.39. Therefore, the probability that none of the 6 graduates find a job is 0.39^6. Subtracting this from 1 gives the probability that at least one finds a job: 1 - 0.39^6 = 0.9965.

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