Mathematics — Probability · hypergeometric-distribution
Problem
A bridge deck has 52 cards with 13 cards in each of four suits: spades, hearts, diamonds, and clubs. A hand of 13 cards is dealt from a shuffled deck. Find the probability that the hand has
(a) a distribution of suits 4, 4, 3, 2 (for example, four spades, four hearts, three diamonds, two clubs).
(b) a distribution of suits 5, 3, 3, 2.