SOLUTION: a flush in the card game of poker occurs if a player gets five that are all the same suit( clubs, diamonds, hearts or spades). complete parts a and b to obtain the probability of b

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Question 1154650: a flush in the card game of poker occurs if a player gets five that are all the same suit( clubs, diamonds, hearts or spades). complete parts a and b to obtain the probability of being dealt a flush in five cards.
a)initially concentrate on one suit, say clubs. there are 13 clubs in a deck. complete p(five clubs)= p(first card is clubs and second card is clubs and third card is clubs and fourth card is clubs and fifth card is clubs )
p(five clubs)=?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!


P(five clubs in poker hand) = (13/52)*(12/51)*(11/50)*(10/49)*(9/48)



...after cancelling common factors...

= (3*11) / (17*5*49*16)



= 0.0004952   (close to 1/2019)