SOLUTION: You draw 4 cards from a deck of 52 playing cards. Give the probability that all four cards are red face cards.

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Question 184334This question is from textbook
: You draw 4 cards from a deck of 52 playing cards. Give the probability that all four cards are red face cards. This question is from textbook

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
There are 6 red face cards in the deck of 52, so the probability of drawing a red face card on the first draw is 6/52. Once you have drawn that card, given that it actually is a red face card, you only have 5 red face cards and 51 total cards left, so 5/51. Repeat the pattern for the other two cards.

Hence the desired probability is:

6/52 times 5/51 times 4/50 times 3/49.

You can do your own arithmetic.

John