SOLUTION: You are dealt 5 cards from a standard deck of 52 cards. What is the probability that all 5 cards are face cards? (Note: There are 12 face cards in the deck – the jack, queen, and k

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: You are dealt 5 cards from a standard deck of 52 cards. What is the probability that all 5 cards are face cards? (Note: There are 12 face cards in the deck – the jack, queen, and k      Log On

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Question 284349: You are dealt 5 cards from a standard deck of 52 cards. What is the probability that all 5 cards are face cards? (Note: There are 12 face cards in the deck – the jack, queen, and king of each of the four suits are considered face cards.)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Each event is independent.
Find the probability of each and multiply them together.
At first,
P(face)=12/52
Second card,
P(face)=11/51
Third card,
P(face)=10/50
Fourth card,
P(face)=9/49
and finally
P(face)=8/48
P(5 faces)=%2812%2F52%29%2811%2F51%29%2810%2F50%29%289%2F49%29%288%2F48%29
P(5 faces)=95040%2F311875200=33%2F108290
or approximately
P(5 faces) = 0.000305