Question

A die is rolled. If the outcome is an odd number, what is the probability that it is prime? Select the correct answer from above options

Answer 1

Here, `A = `Event that outcome is an odd number. `A = {1,3,5}`. `:. n(A) = 3` Let `B = `Event that outcome is prime. Then, `B = {2,3,5}` `:. n(B) = 3` Now, `(AnnB) = {3,5}` `=>n(AnnB) = 3` `:.` Required probability , `P(B/A) = (n(AnnB) )/(n(A)) = 2/3.`