Answer :

We know that in a deck of 52 cards there are 26 red cards and 26 black cards.

Let X be the random variable associated with this experiment of drawing of red cards simultaneously.

∴ X can take values 0 ,1 or 2.

P(X = 0) = Probability of getting 0 number of red card

This means both cards drawn are black.

∴ P(X=0) =

Probability of getting 1 red card and the other non – red = P (X = 1)

P(X = 1) =

P (X =2) = Probability of getting 2 red cards

P(X = 2) =

Probability distribution table for the above random experiment is –

Mean = ∑p_{i}x_{i}

Mean = + +

Mean = 1

Variance = ∑p_{i}x_{i}^{2} - Mean^{2}

Variance = + + - 1^{2}

∴ variance = 0.49

Mean = 1 & Variance = 0.49.

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