Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that one of the cards is a 7 and the other is a 3, and are these events independent?

4/663; no, they are dependent events

1/16 ; yes, they are independent events

8/663 ; no, they are dependent events

1/169; yes, they are independent events

I know it's not C, I'm not sure how to even start. I'm saying all of this which I didn't think was needed, I thought it was implied that I'm asking for help and not just answers for Melody. Sorry if I offended you in some way.

failurewithasmile
Apr 15, 2017

#1**+1 **

We could draw the 3 first and then the 7.....or we could draw the 7 first and then the 3....so...

P(drawing the first card) = 4/52 .....P(drawing the second card) = 4/51

And we can do this in 2 ways "7" first and then "3" or vice-versa

2 (4/52) (4/51) = 2(1/13)(4/51) = 8/663

These are definitely dependent events

CPhill
Apr 15, 2017