A business club of 50 memebers has 20 women members Thirteen

A business club of 50 memebers has 20 women members. Thirteen of the women and 23 of the men are taking M1324 this semester.

What is the probability that a member selected at random is a man?

What is the probability that a member is taking M1324 given he is a male?

What is the probability that a member selected at random is taking M1324?

What is the probability that a member is male given he is taking M1324?

Solution

A business club of 50 members has 20 women members. Thirteen of the women and 23 of the men are taking M1324 this semester.

The probability that a member selected at random is a man is: 30/50=0.6

The probability that a member is taking M1324 given he is a male:

(23/36)/(50)

=0.013

The probability that a member selected at random is taking M1324:

36/50=0.72

The probability that a member is male given he is taking M1324:

23/30=0.77