Question

An unbiased coin is tossed. If the outcome is a head then a pair of unbiased dice is rolled and the sum of the numbers obtained on them is noted. If the toss of the coin results in tail then a card from a well-shuffled pack of nine cards numbered 1, 2, 3, …., 9 is randomly picked and the number on the card is noted. The probability that the noted number is either 7 or 8 is:

(1) 13/36

(2) 15/72

(3) 19/72

(4) 19/36

Answer 1

Correct option: (3) 19/72

Explanation:

Sum of number of dice is 7

(1, 6) , (2, 5) , (3,4)

(6, 1) , (5, 2) , (4,3)

Sum of number of dice is 8

(2, 6) , (3, 5) , (4, 4), (6, 2), (5, 3)

Answer 2

Correct option: (3) 19/72

Explanation: