Two standard six-sided dice numbered 1 to 6 are rolled. What is the probability that the product of the two numbers obtained is the square of a prime?
A) 5/36
B) 4/36
C) 6/36
D) 3/36
E) 7/36
IMAT 2023 · Question 51
Q51 - Probability
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The correct answer is A) 5/36.
Products of two dice can't go above 36, so the squares of primes you can get are 4, 9 and 25.
4: (1,4), (4,1), (2,2), so 3 ways
9: (3,3), 1 way
25: (5,5), 1 way
5 favourable outcomes out of 36, so 5/36.
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