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Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that both cards are aces? Are these events independent?


A 4/663; no, they are dependent events

B 2/13; yes, they are independent events

C 1/169; yes, they are independent events

D 1/221; no, they are dependent events

 Apr 12, 2018

Here is my solution: 


To draw two cards we can do $\binom{52}{2}$, which is 1326. 


Since there are 4 aces in the deck, the number of ways we can choose 2, is $\frac{\binom{4}{3}}{2}$, which is 6. 


6/1326 = 1/221.


So the answer is D, 1/211; no, they are dependent events. 

 Apr 12, 2018

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