Question

Two cards are drawn successively without replacement from a well shuffled deck of 52 cards. find the probability distribution of the number of ace

Answer 1

Let The number of queens in the pack of cards =4

Let X be the discrete RV denoting the number of queens when two cards are drawn with out replacement .X takes the values 0,1,2

Then,
P(X=0)=probability of no queen being drawn
=48C252C2
=48×47/1×252×51/1×2
=564663
P(X=1)=probability that 1 card is a queen
=48C1×4C152C2
=48×452×51/1×2
=96663
=32221
P(X=2)=probability that both cards are queens
=4C252C2
=4×3/1×252×51/1×2
=3663
=1221

Thanks!

-TeamBrainly
(BrainlyManager)