Question

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?

Answer 1

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

Answer 2

13

Answer 3

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

Answer 4

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

Answer 5

so is it 0.042%?

Answer 6

how would be work?