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A deck of cards has 5 pink, 2 gray, and 6 black cards. You pick 2 cards from the deck without replacement. What is the probability that the first card is gray and the second card is pink?

 Feb 13, 2020

Best Answer 

 #1
avatar+865 
+2

I'm not sure this is correct, please check for me.

 

P( the first card is gray) = 2 / (5+2+6) = 2/13.

 

P (the second card is pink)  = 5/ (5+2+5) = 5/12

 

P (the first card is gray and second is pink) = (5/12)(2/13) = 10/156.

 

Simplified = 5/78.

 

Please check for me.

 Feb 13, 2020
 #1
avatar+865 
+2
Best Answer

I'm not sure this is correct, please check for me.

 

P( the first card is gray) = 2 / (5+2+6) = 2/13.

 

P (the second card is pink)  = 5/ (5+2+5) = 5/12

 

P (the first card is gray and second is pink) = (5/12)(2/13) = 10/156.

 

Simplified = 5/78.

 

Please check for me.

AnimalMaster Feb 13, 2020
 #2
avatar+118608 
+2

Good work AnimalMaster, that is absolutely correct  laugh

Melody  Feb 13, 2020
 #3
avatar+865 
+3

Thank you!

AnimalMaster  Feb 13, 2020
 #4
avatar+118608 
+2

Why don't you give yourself some points?

Melody  Feb 13, 2020
 #5
avatar+865 
+3

Do you mean like being more confident?

 

I dunno, it's kind of a habit of not being confident enough. 

 

If you mean actually giving points to myself, i don't know how to do that.

AnimalMaster  Feb 13, 2020
 #6
avatar+118608 
+1

I meant give yourself points.  Click on the heart in the top right of your post.

Melody  Feb 13, 2020
 #7
avatar+865 
+1

Ohhh.

AnimalMaster  Feb 13, 2020

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