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Deck of Cards Problem

In a standard deck of playing cards, what is the probability of drawing a jack?

52 cards 4 Jacks $\frac{4}{52}=\frac{1}{13}$

If two cards are drawn successively, without replacement, what is the probability of drawing two aces?

P( $1^{st}$ Ace)= $\frac{4}{52}= \frac{1}{13}$

P( $2^{nd}$ Ace)= $\frac{3}{51}= \frac{1}{17}$

P(both Aces) = $\frac{1}{13} \cdot \frac{3}{51}= \frac{3}{13 \cdot 51}=\frac{3}{663}=\frac{1}{221}$