P(doubles | sum of 8)
To find the probability of rolling doubles given that the sum of the dice is 8, we first need to determine the number of ways the sum of 8 can be achieved when rolling two dice
To find the probability of rolling doubles given that the sum of the dice is 8, we first need to determine the number of ways the sum of 8 can be achieved when rolling two dice.
The possible combinations that yield a sum of 8 are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). Out of these combinations, only (4, 4) results in doubles.
So from the 5 possible combinations that give a sum of 8, only 1 of them results in doubles. Therefore, the probability of rolling doubles given that the sum is 8 is 1/5.
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