allearea1501
allearea1501 allearea1501
  • 01-07-2017
  • Mathematics
contestada

If you are delt 4 cards from shuffled deck of 52 cards, find the probability that all 4 cards are diamonds

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mathmate
mathmate mathmate
  • 02-07-2017
P(first diamond) = 13/52
P(second diamond) = (13-1)/(52-1) = 12/51
P(third diamond) = (13-2)/(52-2) = 11/50
P(fourth diamond) = (13-3)/(52-3) = 10/49
To get all four diamonds, multiply together the four probabilities to get
P(four diamonds)=13/52*12/51*11/50*10/49=11/4165
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