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Two dice are rolled once. Find the probability of getting such numbers on two dice whose product is a perfect square.

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Two dice are rolled once. Find the probability of getting such numbers on two dice whose product is a perfect square. Select the correct answer from above options

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Correct Answer - ` 2/9` Number of all possible outcomes = 36. Let E be the event of getting 2 numbers on the two dice whose product is a perfect square. Then, the favourable outcomes are (1,1),(1,4),(4,1),(2,2),(3,3),(4,4),(5,5),(6,6). Their number is 8. So, ` P(E) = 8/36 = 2/9`.

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