Answer :

We have total 26 red cards in a deck of 52 cards.


As we are drawing maximum 3 cards at a time so we can get maximum 3 red cards.


If X denotes the number of red cards ,then X can take values from 0,1,2 and 3


P(X=0) = probability of drawing no red cards


We need to select all 3 cards from remaining 26 cards


Total possible ways of selecting 3 cards =


P(X=0) =


P(X=1) = P(selecting one red and 2 black cards) =


P(X=2) = P(selecting 2 red and 1 black cards) =


P(X=3) =


So, Probability distribution is given below:



Mean =


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