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Question
Three six faced fair dice are rolled together.  The probability that the sum of the numbers appearing on the dice is 8, is
Options:
A .  772
B .  754
C .  427
D .  764
Answer: Option A
:
A
Getting sum 8 when three dice are rolled = E
The possibilities are (1,1,6) , (2,2,4), (3,3,2), (1,2,5), (1,3,4)
The number of favorable cases for E = 3 + 3 + 3 + 6 + 6 = 21
The total number of cases = 63= 216
Required probability P(E) =21216=772.

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