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प्रश्न
Two dice are rolled together. Find the probability of getting such numbers on two dice whose product is a perfect square.
उत्तर
When two different dice are thrown, then total number of outcomes = 36.
Let E be the event of getting the product of numbers, as a perfect square.
These numbers are (1, 1), (1, 4), (2, 2), (3, 3), (4, 1), (4, 4), (5, 5) and (6, 6).
Number of Favourable outcomes = 8
∴ P(getting the product of numbers, as a perfect square)
`=P(E)="Number of outcomes favourable to E"/"Number of all possible outcome"`
`=8/36 = 2/9`
Thus, the probability of getting the product of numbers, as a perfect square is `2/9`.
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