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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
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3+0 Answers

 #1
avatar+75333 
+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

 

 

 

cool cool cool

CPhill  Apr 15, 2017
 #2
avatar+117 
0

Thank you, that's what I got last time but it says it was wrong.

failurewithasmile  Apr 15, 2017
 #3
avatar+89779 
+1

 CPhill's logic is correct :)

Melody  Apr 15, 2017

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