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Dillesh4096
A ticket is selected at random from 50 tickets numbered 00, 01, 02, ……, 49. Find the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero.

A. 1/14
B. 1/10
C. 1/11
D. 1/50
E. 1/25

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Of the numbers described, those whose two digits create a product of 0 are:

00, 01, 02, 03, 04, 05, 06, 07, 08, 09, 10, 20, 30, and 40.

Of these 14 numbers, only 08 has two digits whose sum equals 8. Therefore, the probability is 1/14.


Answer: A
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Case A - Sum is 8
Possible Outcomes: 8, 17, 26, 35, 44

Case B - Product is 0
Possible Outcomes: 00, 01, 02,........09, 10, 20, 30, 40

A∩B = 08

Required Probability = P(A/B) = P(A∩B)/P(B) = \(\frac{1}{50} / \frac{14}{50}\) = \(\frac{1}{14}\)

Ans - A
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