What is the theoretical probability of being dealt exactly two 4's in a 5-card hand from a standard 52-card deck

Question

anonymous · Answer

so how many 4's are there in a standard 52-card deck?

anonymous · Answer

Thanks for responding so quick :D. There are four of them.

anonymous · Answer

sorry for taking so long. I was helping someone else

anonymous · Answer

the initial probability of drawing a 4 is 4/52

anonymous · Answer

then the chance to draw another one is 3/51

anonymous · Answer

then you have the probabilities of not drawing 4's, which are 47/50, 46/49, and 45/48

anonymous · Answer

then multiply all of those probabilities. glhf

anonymous · Answer

Wouldn't it be easier to use combinations and/or permutations...

ybarrap · Answer

Going straight to combinations, the preceding is equivalent to
$$
\Large{
{4\choose 2}{52-4\choose 3} \over {52\choose5}
}
$$