Statistics probability

Question

Suppose that the number of a village development committee have been categorized as shown in the following table:

Sex         literate.     illiterate

Male       7             5

Female   6          2

Suppose that a person is selected at random from this committee. Let E denote the event that the person chosen is illiterate and K the event that the person selected is a man.

Compute p(K/E)?

Please show all the details!

Answer 1

There are 7 + 5 12 men. 7 are illiterate. Therefore, the probability is 7/12 that the person chosen is illiterate given they are a man.

total sample size is 20.

Mathematically:

P(K|E) = P(K and E) / P(E) = 7/20 / 12/20 = 7/12