In a management trainee program, 80 percent of the trainees are female, 20 percent male. Ninety percent of the females attended college, 78 percent of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a female who did NOT attend college?

Question

Mathematics

Pranav Stephenson

1 August, 15:33

In a management trainee program, 80 percent of the trainees are female, 20 percent male. Ninety percent of the females attended college, 78 percent of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a female who did NOT attend college?

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Elijah Zavala · Answer 1

Probability that the person selected is a female who did NOT attend college is 0.08

Step-by-step explanation:

In this case, we want to know the probability of two events happening, the first even is that the person selected is woman. We have this probability, it is 80% (0.80)

The other even is NOT attended college. We know the percentage of the women who attended, the other option is Not attended (the complement). The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1.

So, the probability of a women not attended college is = 1-0.90=0.10

We are looking the probability of 2 event that occur at the same time, so we have to multiply the probability of both events.

Probability that the person selected is a female who did NOT attend college = Probability that the person selected is a female * Probability that the person selected not attended college

Probability = 0.80 * 0.10=0.08