Question

One member from a book club is randomly selected. There is a 40% chance the member is male, and there is a 15% chance that the member is male and finished reading the last book. What is the probability that the member did not finish reading the last book, given that the member is male?

Answer 1

18%

Explanation:

Given that

40% would be the chances the member is male

And, 15% chance that the member is male and finished the reading of the last book

We need to find out the probability

Let us assume the probability of reading the last book be P(R)

The probability that the member is a male, P(M) = 0.4

The probability that the member is male and finished reading the last book, P(M ∩ R) = 0.15

Now

P(M ∩ not R) = 0.40 - 0.15

= 0.25

P(not R | M) = P(M ∩ not R) ÷ P(M)

P(not R | M) = 0.18

= 18%