An experiment consists of dealing 4 cards from a standard 52

An experiment consists of dealing 4 cards from a standard 52 card dec. What is the probability of bing dealt exactly 1 face card? Please show work.

Solution

total number of face card in 52 cards = 4 * 4 = 16

total number of ways of dealt exactly one face card

= 16C1 * 36C3

required probabilty

= 16C1 * 36C3 / 52C4

= 0.4219