## ouko 2 years ago 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

1. abhi_abhi

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

2. ouko

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

3. abhi_abhi

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

4. abhi_abhi

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

5. abhi_abhi

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

6. abhi_abhi

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

7. abhi_abhi