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I have a deck of cards. What is the chance if I draw 5 cards, all of them are a distinct type? (Ace,2,3,5,6,7,8,9...King)

 Apr 16, 2018
 #1
avatar+100519 
+2

I believe you are describing a "flush".....5 cards of the same suit

 

We  have  three types

Royal Flush  - 4

StraightFlush - 36

Flush  - 5108

 

Probability  =   [ 4 + 36 + 5108 ]  /  C (52,5)  ≈   0.00198  ≈  .198%

 

 

cool cool cool

 Apr 16, 2018
 #2
avatar+4221 
+1

Thanks so much, CPhill!

tertre  Apr 17, 2018

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