Question

# Find the probability of getting the difference of two numbers obtained as a prime number, if a pair of dice are thrown simultaneously.

A
49
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B
512
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C
13
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D
12
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Solution

## The correct option is A 49Total no. of outcomes = 36 Favourable outcomes = (1, 3), (1, 4), (1, 6), (2, 4), (2, 5), (3, 1), (3, 5), (3, 6), (4, 1), (4, 2), (4, 6), (5, 2), (5, 3), (6, 1), (6, 3), (6, 4)} No. of favourable outcomes = 16 For an event E, Probability P(E) = Number of outcomes favourable to ENumber of all possible outcomes of the experiment ∴ Probability (difference of two numbers being a prime number) = 1636=49

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