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The
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The
Master Factor
The probability that four aces can be drawn in succession from a
deck of 52 playing cards:
(pr = probability)
Let, E1 = pr of getting an ace in the 1st
draw = 4 / 52
E2 = pr of getting an ace in the 2nd draw under the condition
that there was an ace in the 1st draw = 3 / 51
E3 = pr of getting an ace in the 3rd draw under the condition
that there was aces in the 1st & 2nd draw = 2 / 50
E4 = pr of getting an ace in the 4th draw under the condition
that there was aces in the 1st , 2nd & 3rd draw = 1 / 49
therefore, Pr{4 aces in succession} = Pr{E1 and E2 and E3 and
E4}= (4/52) * (3/31) * (2/50) * (1/49) = 1 / 270725
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