Q. 16

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Given : Two cards are drawn without replacement from a well-shuffled deck of 52 cards.

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

Formula used : Mean = E(X) = Variance = E(X2) - Mean = E(X) = = x1P(x1) + x2P(x2) + x3P(x3)

Two cards are drawn without replacement from a well-shuffled deck of 52 cards.

Let X denote the number of face cards drawn

There are 12 face cards present in 52 cards

P(0) = = = P(1) = = = P(2) = = = The probability distribution table is as follows, Mean = E(X) = 0( ) + 1( ) + 2( ) = 0 + + = = = Mean = E(X) =  = = E(X2) = = P(x1) + P(x2) + P(x3)

E(X2) = ( ) + ( ) + ( ) = 0 + + = E(X2) = Variance = E(X2) - =  = = Variance = E(X2) - = Mean = E(X) = Variance = Rate this question :

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