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When being dealt two cards from a standard deck of fifty-two playing cards, find the probability that both cards are an ace.

Sagot :

We have:

Total number of cards in a pack = 52

Total number of aces in a pack = 4

The probability of drawing an ace is:

[tex]P(one\text{ }ace)=\frac{4}{52}[/tex]

The probability that both are aces is:

[tex]P(both\text{ aces\rparen=}\frac{4}{52}\cdot\frac{3}{51}=\frac{4\cdot3}{52\cdot51}=\frac{12}{2652}=\frac{1}{221}[/tex]

Answer: the probability is 1/221

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