4 cards are drawn from a well – shuffled deck of 52 cards. What is the probability of obtaining 3 diamonds and one spade?
Number of ways of drawing 4 cards from 52 cards = 52C4
In a deck of 52 cards, there are 13 diamonds and 13 spades.
Number of ways of drawing 3 diamonds and one spade = 13C3 × 13C1
Thus, the probability of obtaining 3 diamonds and one spade
= (13C3 × 13C1)/ 52C4