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in Mathematics by (76.5k points)

In throwing a pair of fair dice, find the probability of getting a total of 8.

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When a pair of dice is thrown the sample space consists 

{(1, 1) (1, 2) .......... (1, 6) 

(2, 1,) (2, 2,)......... (2, 6) 

.... ..... ........

... ... ... ... 

(6, 1), (6, 2) ........ (6, 6)} 

Note that (1, 2) and (2, 1) are considered as separate points to make each outcome as equally likely. To get a total of ‘8’, favourable outcomes are, (2, 6) (3, 5) (4, 4) (5, 3) and (6, 2). 

Hence required probability = 5/36

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