Q22 of 96 Page 166

Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is less than 9.

Number of total outcomes = 36

When product of numbers appearing on them is less than 9, then possible ways are (1, 6), (1, 5), (1, 4), (1, 3), (1, 2), (1, 1), (2, 2), (2, 3), (2, 4), (3, 2), (4, 2), (4, 1), (3, 1), (5, 1), (6, 1) and (2, 1).


Number of possible ways = 16


∴ Required probability = 16/36 = 4/9


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20

Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is

(i) 7?


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(iii) 1?

 21

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(i) 6


(ii) 12


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 23

Two dice are numbered 1, 2, 3, 4, 5, 6 and 1, 1, 2, 2, 3, 3, respectively. They are thrown and the sum of the numbers on them is noted. Find the probability of getting each sum from 2 to 9, separately.

 24

A coin is tossed two times. Find the probability of getting at most one head.