## anonymous one year ago Given a 13-card bridge hand has been dealt from a standard deck of 52 cards, what is the probability of having a) exactly 6 hearts? b) exactly 7 hearts, three diamonds, two clubs, and one spade?

1. anonymous

exactly 6 hearts means 6 hearts and 7 other stuff do you know how many hearts are in the deck?

2. anonymous

13

3. anonymous

ok so 13 hearts to choose 6 from and 39 other stuff to choose 7 from

4. anonymous

$\huge \frac{\binom{13}{6}\binom{39}{7}}{\binom{52}{13}}$ s the quick answer

5. anonymous

so is it 0.042%?

6. anonymous

how would be work?