SOLUTION: If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards are queens.

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Question 1197101: If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards are queens.
Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi

If you are dealt 4 cards from a shuffled deck of 52​ cards
find the probability that all 4 cards are queens.
 Dealt 4 
 52C4 is the total ways to be dealt 4 cards
  nCr = (n!)/(r!(n - r)!)
Using nCr calculator button:  52C4 = 270,725 ways to be dealt 4 cards

P = Particulars / all Possible ways 
 (only 1 way of drawing 4 Queens)

P(4 Queens)=  1/270,725 = .0000037
Not Likely!
Wish You the Best in your Studies.


Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

        P = %284%2F52%29%2A%283%2F51%29%2A%282%2F50%29%2A%281%2F49%29 = 3.7E-06.             ANSWER