In a major midwestern university, 60% of all undergraduates are female, 30% belong to a greek organization (fraternity or sorority) and 40% of all males belong to a greek organization. what is the probability that an undergraduate is in a greek organization given that the undergraduate is a female?

30% probability that an undergraduate is in a greek organization given that the undergraduate is a female

Step-by-step explanation:

The conditional probability formula is used to solve this question:

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem, we have that:

60% of undergraduates are female.

100 - 60 = 40% are male.

30% belong to the organization.

Of those, 40% are male.

So 0.3*0.4 = 0.12 are male and belong to the organization.

0.3 - 0.12 = 0.18 are female and belong to the organization.

What is the probability that an undergraduate is in a greek organization given that the undergraduate is a female?

Event A: Being female, so P(A) = 0.6.

Event B: Being in the organization.

So

30% probability that an undergraduate is in a greek organization given that the undergraduate is a female

right

step-by-step explanation:

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