## anonymous one year ago 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?

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1. anonymous

@nincompoop

2. anonymous

@OregonDuck

3. anonymous

2 out of 52

4. anonymous

i think

5. anonymous

no 6 out of 52

6. anonymous

i wish it were that simple

7. anonymous

DAMMIT

8. anonymous

im so stupid today >.<

9. anonymous

my possible answers are: 0.038 0.200 0.315 0.465 0.747

10. kropot72

$\large P(2\ spades)=\frac{13C2\times39C4}{52C6}$

11. anonymous

@kropot72 what does c stand for

12. kropot72

13C2 means 13 choose 2, or alternatively, the number of combinations of 13 different things taken 2 at a time.

13. anonymous

It depends. Are the cards being replaced after each draw?

14. kropot72

If the cards were replaced after each draw, then none of the answer choices applies.