Q23 of 66 Page 15

Two dice are rolled together. Find the probability of getting such numbers on the two dice whose product is a perfect square. [CBSE 2011]

Total numbers of elementary events are: 6 x 6 = 36

Let E be the event of getting such number on the two dice whose product is a perfect square


The favourable combinations are: (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (1, 4), (4, 1)


Then, the numbers of favourable combinations = 8


∴ P (getting such number on the two dice whose product is a perfect square)


= P (E) = 8/36 = 2/9

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