Probability of product of a perfect square when 2 dice are thrown together, is 1) 2/9 2) 1/9 3) 5/18 4) None of these

Solution: Option (1) 2/9

When two dice are thrown, the number of sample spaces obtained is 36.

Favourable outcomes = {(1, 1) (2, 2) (4, 1) (1, 4) (3, 3) (4, 4) (5, 6) (6, 6)}

Therefore, required probability = 8/36 = 2/9.

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