Question

A poker hand consists of 5 cards dealt at random without replacement from a standard deck of 52 cards of which 26 are red and the rest black. A poker hand is dealt. Find the chance that the hand contains three red cards and two black cards

Answer 1

number of ways to get 3 red cards = 2600
number of ways to get 2 black cards = 325
Total number of ways you could get 3 red and 2 black = 845,000
total number of possiblities in 5 card poker = 2,598,960
so answer = 845000/2598960
0.325130052

Answer 2

great could break down this for me in fractions please so that i compare with what i had previously?

Answer 3

number of ways to get 3 red cards \[\left(\begin{matrix}26 \\3\end{matrix}\right)\]= 2600

Answer 4

number of ways to get 2 black cards \[\left(\begin{matrix}26 \\ 2\end{matrix}\right)\]= 325

Answer 5

Total number of ways you could get 3 red and 2 black =2600*325=845,000

Answer 6

total number of possiblities in 5 card poker\[\left(\begin{matrix}52 \\ 5\end{matrix}\right)\] = 2,598,960

Answer 7

so answer = 845000/2598960
=0.325130052

Answer 8

I was stuck with this question, thank you!