SOLUTION: If you are dealt three cards from a shuffled deck of 52 cards, what is the probability that all three cards are face cards.

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Question 596859: If you are dealt three cards from a shuffled deck of 52 cards, what is the probability that all three cards are face cards.
Answer by solver91311(24713) About Me  (Show Source):
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The probability of successes in trials where is the probability of success on any given trial is given by:



Where is the number of combinations of things taken at a time and is calculated by





Then, since there are 13 cards in each suit, only three of which are face cards:





=BINOMDIST(3,3,3/13,FALSE) if entered into an Excel (Windows) or Numbers (Mac) spreadsheet will give the answer directly.

But you can also use the following facts to simplify the arithmetic:



for all positive integers and



for all real numbers

John

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