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a. Find the total number of possible 4​-card poker hands.
b. A red flush is a 4​-card hand consisting of all red cards. Find the number of possible red flushes.
c. Find the probability of being dealt a red flush.

 Sep 22, 2020
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Not POSITIVE of these answers

 

Possible 4 card hands out of a 52 card deck

     52 c 4  =  52! / ( 48! 4!) = 270725

 

there are TWO sets red cards each set is 13 cards    a flush is  4 cards of the SAME SUIT ...not just 'red'

    13 c 4   + 13 c 4  = 1430 flushes  ( 4 hearts  or  4  diamonds)

 

1430 possible 'red' flushes out of 270725 possible hands =   ............

 Sep 22, 2020

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