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 = 52C3
P(X = 1) = P(selecting one red and 2 black cards)
P(X = 2) = P(selecting 2 red and 1 black cards)
So, Probability distribution is given below:
