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Question

Three dice are rolled. The probability that the same number will appear on each of them is

A
136
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B
112
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C
249
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D
None
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Solution

The correct option is A 136
Solution:- (A) 136
Let A be the event that the same no. will appear on each of the dice.
Three dice can fall in 216 ways.
Thus, n(S)=216
If the same number appears on each of them then the possible number of ways is 6.
Thus n(A)=6
P(A)=n(A)n(S)=6216=136
Hence the probability that the same number will appear on each of them is 136.

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