Question

A black and a red dice are rolled. (a) Find the conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5. (b) Find the conditional probability of obtaining the sum 8, given that the red die resulted in a number less than 4. Select the correct answer from above options

Answer 1

(a) E : Sum gr than 9 = {(4,6), (6,4), (5,5), (6,5), (5,6), (6,6)} F : Black resulted in 5 = {(5,1), (5,2), (5,3), (5,4),(5,5), (5,6)} E∩F = sum gr than 9 and black die resulted in 5