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A die is thrown three times.

Question:

A die is thrown three times. Let X be ‘the number of twos seen’. Find the

expectation of X.

Solution:

Here, we have X = 0, 1, 2, 3 [Since, die is thrown 3 times]

And p = 1/6, q = 5/6

Therefore, the required expression is ½.

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