# Probability with poker

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Poker, in the deck 52 cards, hand of 5 cards, one of the winning hands is flush, all cards belong to a common suit.

A) Calculate the number of possible combinations of poker hands

B) Calculate a probabilty of flush

C) Calculate a probabilty of getting 4 aces on one hand

D) calculate a probabilty of getting 2 aces or 2 kings

e) Calculate a probability of getting royal flush: A,K,Q,J,10 in each suit

Remember to use all probabilites methods and show in your answer!

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##### Solution Summary

Poker, in the deck 52 cards, hand of 5 cards, one of the winning hands is flush, all cards belong to a common suit.

A) Calculate the number of possible combinations of poker hands

B) Calculate a probabilty of flush

C) Calculate a probabilty of getting 4 aces on one hand

D) calculate a probabilty of getting 2 aces or 2 kings

e) Calculate a probability of getting royal flush: A,K,Q,J,10 in each suit

Remember to use all probabilites methods and show in your answer!

##### Solution Preview

Let C(n,m)=n!/(m!(n-m)!)

A) C(52,5)

B) A flush means five cards of the same suits. So there are 4*C(13,5) possibilities. The probabilty of a flush is

...

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