Question

4 cards are drawn from a well-shuffled deck of 52 cards. What is the probability of obtaining 3 diamonds and one spade?

Answer 1

Number of ways of drawing 4 cards from 52 cards =

In a deck of 52 cards, there are 13 diamonds and 13 spades.

∴Number of ways of drawing 3 diamonds and one spade =

Thus, the probability of obtaining 3 diamonds and one spade =.