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You choose three cards at random from a standard deck of cards, without replacement. What is the probability that the first card is clubs, the second card is hearts, and the third card is also clubs?
 

 Feb 5, 2020
 #1
avatar+109345 
+1

P ( first card is clubs  ) =  13/52  =  1/4

 

P ( second is hearts)  =  13/51  

 

P( third is also clubs)  =   12/50  = 6/25

 

So....the total probability is

 

1/4  *  13/51 * 6 /25   =   78  / 5100   =    13 / 850

 

 

cool cool cool

 Feb 5, 2020
 #2
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Thank you!

Guest Feb 5, 2020
 #3
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Also, when you say P ( first card is clubs) does that mean the probability of the first card being clubs?

Thanks!

Guest Feb 5, 2020
 #4
avatar+109345 
0

Yes

 

P ( first card is a club)   means  the probability of the first card being a club

 

Sorry I didn't make that clearer  !!!!

 

 

cool cool cool

CPhill  Feb 5, 2020

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