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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. - Mathematics

Short Note

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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#### Solution

Number of possible outcomes = 36

Let E be the event of getting two numbers 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) and (6, 6).

Number of favourable outcomes = 8.

∴ P(getting numbers whose product is a perfect square) = ("Number of favourable outcomes")/"Number of all possible outcomes"

= 8/36 = 2/9

Thus, the probability of getting such numbers on two dice whose product is a perfect square is 2/9.

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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 15 Probability
Exercise 15B | Q 17 | Page 698
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