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Mathematics 19 Online
OpenStudy (yanasidlinskiy):

How in the world am I supposed to solve this?? @SolomonZelman do you know??

OpenStudy (yanasidlinskiy):

OpenStudy (anonymous):

is it two pair?

OpenStudy (yanasidlinskiy):

Yes.

OpenStudy (yanasidlinskiy):

Like, would I multiply the 5 and 52??

OpenStudy (anonymous):

i think it is \[\frac{\binom{13}{2}\binom{4}{2}\binom{4}{2}\times 11\times 4}{\binom{52}{5}}\] let me check

OpenStudy (yanasidlinskiy):

Ok.

OpenStudy (anonymous):

it is repeated applications of the counting principle the denominator is the number of ways to pick 5 cards out of 52, i.e. the number of elements of your sample space

OpenStudy (anonymous):

the numerator \[\binom{13}{2}\] there are 13 values and you are picking two of them (like day jacks and eights)

OpenStudy (anonymous):

\[\binom{4}{2}\] once a value is chosen say jacks, there are 4 jacks, you have a choice of two

OpenStudy (anonymous):

\[\binom{4}{2}\] same argument for the other value (say eights)

OpenStudy (anonymous):

\[4\times 11=44\] the number of possibilities for the last card note that it cannot be of the same value as the two chosen, so maybe calling this \(52-8=44\) makes more sense

OpenStudy (anonymous):

you want to compute this number \[\frac{\binom{13}{2}\binom{4}{2}\binom{4}{2}\times 11\times 4}{\binom{52}{5}}\] i would use wolfram better yet i bet if you google the question you can find an answer, although unfortunately it is probably in decimal form

OpenStudy (yanasidlinskiy):

I used a different website and it gave me 1320/13

OpenStudy (anonymous):

actually it is not that bad since four choose two is six lets try this \[\frac{\binom{13}{2}\times 36\times 44}{\binom{52}{2}}\]

OpenStudy (anonymous):

lol that number you wrote is the probability of nothing

OpenStudy (yanasidlinskiy):

Lol, I know:) I just wanted to let ya knowXD. Give me a sec. Do you really recommend Wolf just about for anything? Lol!!

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

i don't see your answer listed, but it looks like your choices were not reduced fractions

OpenStudy (yanasidlinskiy):

So what would I do?XD

OpenStudy (anonymous):

i don't know i am not getting any of the answer choices the question is cut off we did just "two pair" and i am certain it is right is there a part i cannot see?

OpenStudy (yanasidlinskiy):

Oh, Sorry..Let me take the screenshot. I'm sure we'll come out to the same answer though.

OpenStudy (anonymous):

ok first of all \[\binom{52}{5}=2,598,960\]

OpenStudy (yanasidlinskiy):

OpenStudy (anonymous):

none of the above

OpenStudy (anonymous):

google it it is a common problem

OpenStudy (yanasidlinskiy):

Well then..I guess I'll let my teacher know.

OpenStudy (yanasidlinskiy):

Ok:) Lets see what I getXD.

OpenStudy (anonymous):

really you will find lots of results poker is very popular

OpenStudy (anonymous):

here is one worked out has all the poker hands i think

OpenStudy (yanasidlinskiy):

Ok:) I guess I'll have to guess on it then. But I really do appreciate all your help!!!! Trying to help me out!! Thank you!!!!

OpenStudy (yanasidlinskiy):

@satellite73 the answer was A!!:)

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