+165 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
+654 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.
