mhemming5423 mhemming5423
  • 15-08-2018
  • Mathematics
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What is the probability of being dealt 5 black cards?

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musiclover10045
musiclover10045 musiclover10045
  • 15-08-2018

There are 52 total cards in a deck.

26 of them are black.


Probability of 1st card being black: 26/52 reduces to 1/2

Probability of 2nd card being black: 25/51

Probability of 3rd card being black: 24/50 reduces to 12/25

Probability of 4th card being black: 23/49

Probability of 5th card being black: 22/48 reduces to 11/24


Probability of getting all 5 black cards:

1/2 x 25/51 x 12/25 x 23/49 x 11/24 = 253 / 9996 ( about 2.5%)


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