Three cards are chosen at random from a deck without replacement. What is the probability of getting a jack, a ten and a nine in order?

1 Answer
sente
Jan 21, 2016

#8/16575#

Explanation:

The probability of drawing one of #4# jacks from #52# cards is #4/52=1/13#

The probability of choosing one of #4# tens from the #51# remaining cards is
#4/51#

The probability of choosing one of #4# nines from the #50# remaining cards is
#4/50=2/25#

As these events are independent, we may multiply their respective probabilities to find the probability of all three occurring, thereby obtaining our answer of

#1/13*4/51*2/25 = 8/16575#

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