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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.

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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. Select the correct answer from above options

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We know that when two dice are thrown the same time, then the number of all possible outcomes is 36. Let E be the event that the sum of the numbers appearing on the top of the two dice is more than 9. The favourable outcomes are (4,6),(5,5),(5,6),(6,4),(6,5),(6,6). Number of favourable outcomes = 6. ∴ P(getting a sum more than 9) = P(E)= 6 36 = 1 6 .

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