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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. - Mathematics

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Question

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.

Sum
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Solution

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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Chapter 13: Statistics and Probability - Exercise 13.3 [Page 172]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 13 Statistics and Probability
Exercise 13.3 | Q 22 | Page 172
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