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Two cards are drawn one by one with replacement from a well-shuffled deck of 52 cars. Find the mean and variance of the number of aces.

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Given : Two cards are drawn with replacement from a well-shuffled deck of 52 cards.

To find : mean (μ) and variance (σ2) of X

Formula used :

Two cards are drawn with replacement from a well-shuffled deck of 52 cards.

Let X denote the number of ace cards drawn

There are 4 face cards present in 52 cards

X can take the value of 0,1, 2.

The probability distribution table is as follows,

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