Answer is (A) 1/14
We have, S = {00, 01, 02, … , 49}
Let A be the event that sum of the digits on the selected ticket is 8. Then,
A = {08, 17, 26, 35, 44}
Let B be the event that the product of the digits is zero. Then
B = {00, 01, 02, 03, …, 09, 10, 20, 30, 40}
Therefore,
A ∩ B = {8}
Therefore, the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals,