Arithmetic Ability
 Probability

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Q.

Four dice are thrown simultaneously. Find the probability that all of them show the same face.

View Answer

Correct choice: A

Explanation:

The total number of elementary events associated to the random experiments of throwing four dice simultaneously is: = 6*6*6*6=64 n(S) = 64 Let X be the event that all dice show the same face. X = { (1,1,1,1,), (2,2,2,2), (3,3,3,3), (4,4,4,4), (5,5,5,5), (6,6,6,6)} n(X) = 6 Hence required probability = n(X)/n(S)=6/64 =1/216
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