Three cards are selected at random, without replacement, from a shuffled pack of 52 cards. Using a tree diagram, find the probability distribution of the number of honours (A,K,Q,J,10) obtained.

Question

anonymous · Answer

use hypergeometric distribution
20 cards are face cards and 32 are noth
P(0) = (32 choose 3)/(52 choose 3) = 248/1105

anonymous · Answer

P(1) = (32 choose 2)*(20 choose 1)/(52 choose 3) = 496/1105
P(2) = (32 choose 1)*(20 choose 2)/(52 choose 3) = 304/1105
P(3) = (20 choose 3)/(52 choose 3) = 57/1105

anonymous · Answer

this basically does the tree diagram for you in 1 equation