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Two dice are thrown simultaneously. If X...

Two dice are thrown simultaneously. If X denotes the number of sixes, find the expectation of X.

Text Solution

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Let X be the random variable which denotes the number of sixes on two dice. So, X may have values `0,1 or 2.`
When a dice is rolled once, probability of obtaining six =`1/6`
and probability of obtaining a non-six = `5/5`
P(X =0) =P (non-six on both dice)=`5/6 ×5/6 =25/36`
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