suppose a pair of fair 6-sided dice are thrown. what is the probability that the sum of the rolls is 6? (answer as a simple fraction of integers)
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In order to solve this question, you've to prepare a matrix with the possible outcomes of both the die one as row and the other as a column. You can refer to the image attached.
As you can see in the image, there will be 5 outcomes where the sum of both the die will be six:- (1,5) (2,4) (3,3) (4,2) (5,1)
Also, we can see that there total 36 possible outcomes.
probability that the sum of the rolls is 6 = (no.of favourable outcomes) / (no.of total outcomes) = 5/36.
As you can see in the image, there will be 5 outcomes where the sum of both the die will be six:- (1,5) (2,4) (3,3) (4,2) (5,1)
Also, we can see that there total 36 possible outcomes.
probability that the sum of the rolls is 6 = (no.of favourable outcomes) / (no.of total outcomes) = 5/36.
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