Consider the numbers 1 through 24 inclusive, Event A= Prime number and B = Odd number. what is the P(A|B)?

P(A|B) = 8/12 = 66.67%

Step-by-step explanation:

From 1 to 24, the number of odd numbers is 12, so event B has 12 possible values.

Among these 12 odd numbers in B, the ones that are prime are:

3, 5, 7, 11, 13, 17, 19, 23 (total of 8 numbers)

so given event B, the event A has 8 possible values inside the sample space of B.

So the probability of A given B, that is, P(A|B), is:

P(A|B) = 8/12 = 66.67%