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Question

Two dice are thrown simultaneously. The probability of getting a pair of aces is
(a) 1/36
(b) 1/3
(c) 1/6
(d) none of these

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Solution

Sample space when two dice are rolled is

S1, 1 1, 2 1, 3 1, 4 1, 5 1, 62, 1 2, 2 ........... 2, 63, 14, 15, 16, 1 ....... 6, 6
i.e. number of element in S is 36.
Number of favourable outcome i.e. both aces is 1 i.e. {(1, 1)}

probability of getting pair of aces is no. of favourable outcometotal number of outcomesi.e. 136
Hence, the correct answer is option A.

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