Question

can you please help me with this question please

Find the probability of the following five-card poker hands from a 52-card deck. In poker, aces are either high or low. Two pair (2 cards of one value, 2 of another value)

A. 20592/433115

B. 22464/433115

C.3432/433115

D. 5148/433115

Answer 1

we can work through this i am sure, but it is probably better to just google this
all stuff about poker on the web

Answer 2

http://en.wikipedia.org/wiki/Poker_probability

Answer 3

I did am like 3 hours trying to figure it out

Answer 4

ok maybe it would be easier if we figured out what the probability of getting a pair of 2 and a pair of 3
it would be
\[\frac{\binom{4}{2}\binom{4}{2}\binom{44}{1}}{\binom{52}{5}}\] i think

Answer 5

reasoning 2 out of the 4 twos
2 out of the 4 threes and one out of the remaining cards that are neither 2 nor 3

Answer 6

but how do I get the answer?

Answer 7

is it more or less clear how i got the answer above?

Answer 8

we are not done, but almost

Answer 9

i computed it for one particular pair, a pair of twos and a pair of threes
there are 13 face values in the deck, and you are picking two of them
so we have to multiply by \(\binom{13}{2}\) to get the final answer
it should be \[\frac{\binom{13}{2}\binom{4}{2}\binom{4}{2}\binom{44}{1}}{\binom{52}{5}}\]

Answer 10

are you asking how to compute that number?

Answer 11

2*13= 26

Answer 12

am confuse

Answer 13

\(\binom{13}{2}=\frac{13\times 12}{2}=78\)

Answer 14

\(\binom{44}{1}=44\) and
\[\binom{4}{2}=\frac{4\times 3}{2}=6\]

Answer 15

so your numerator is
\[78\times 6\times 6\times 44=123552\]

Answer 16

denominator is
\[\binom{52}{5}=2598960\]

Answer 17

final answer is
\[\frac{123552}{259862}\] or whatever you get when you reduce that fraction

Answer 18

it's not close to any of the answers giving in A B C or D

Answer 19

i am going to stick with that answer
especially since that is what wiki says it should be

Answer 20

wiki answer says frequency is \(123552\) and the denominator has to be \(\binom{52}{5}=2598960\)

Answer 21

Yea but am suppose to choose one of the above

Answer 22

here is the reduces fraction
you see the percent is what wiki says it should be
http://www.wolframalpha.com/input/?i=123552%2F2598960

Answer 23

do I have to sing up to see how I can work the problem?

Answer 24

i'll just guess

Answer 25

thanks for your help

Answer 26

Am smarter than you I chose A and I got it correct yea meeee