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Q. Two dice are thrown together, then the probability that sum of these two number is a prime number if it is given that both the results are prime numbers

Probability - Part 2

Solution:

$S=\{(2,2),(2,3)(2,5),(3,2)(3,3)(3,5),(5,2)(5,3),(5,5)\}$
Probability, $=4 / 9$