SOLUTION: A standard deck of cards is made up of 4 suits with 13 cards in each suit. If we randomly sample five cards from a standard poker deck, find the probability that all five cards sel

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Question 419669: A standard deck of cards is made up of 4 suits with 13 cards in each suit. If we randomly sample five cards from a standard poker deck, find the probability that all five cards selected are clubs.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

If we randomly sample five cards from a standard poker deck, 

find the probability that all five cards selected are clubs.

without replacement:

 P (five being all clubs) = 13%2F52%2A12%2F51%2A11%2F50%2A10%2F49%2A9%2F48= 154,440/311,875,200 = .000495

with replacement:

 P (five being all clubs) = (1/4)^5