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

hay24
Apr 12, 2018

#1**+2 **

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.

supermanaccz
Apr 12, 2018