If 6 cards are drawn at random from a standard deck of 52 cards, what is the probability that exactly 2 of the cards are spades?
0.038
0.200
0.315
0.465
0.747

Question

If 6 cards are drawn at random from a standard deck of 52 cards, what is the probability that exactly 2 of the cards are spades?
0.038
0.200
0.315
0.465
0.747

perl · Answer

this is hypergeometric distribution problem

anonymous · Answer

exactly two, put 
$$\frac{\binom{13}{2}\binom{39}{4}}{\binom{52}{6}}$$ which really just restates the question

anonymous · Answer

@perl  a typo i think 
is this called "hypergeometric"?  i can never remember

perl · Answer

I think so , yes

perl · Answer

nevermind your Latex formula is cleaner

anonymous · Answer

ok i believe you
@javier94  the idea is this:
you have 13 spades and you are choosing 2 of them
you have 39 other cards and you are choosing 4 of them
by the counting principle you multiply those together, then divide by the number of ways to choose 6 out of the 52 cards
notice i computed nothing, just said what you need to compute

anonymous · Answer

ok thanks

anonymous · Answer

i would use a calculator for the answer http://www.wolframalpha.com/input/?i=%2813+choose+2%29*%2839+choose+4%29%2F%2852+choose+6%29