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

Answer

N/a

Explanation

No. of ways of drawing 4 cards from 52 cards `=.^(52)C_(4)`
These cards have 13 cards of diamond and 13 cards of spades.
Favourable outcomes of drawing 3 diamonds and 1 space
`=.^(13)C_(3)xx.^(13)C_(1)`
`:. `Probability of drawing 3 diamonds and 1 spade cards
`=(.^(13)C_(3)xx.^(13)C_(1))/(.^(52)C_(4))`