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?

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?

anonymous · Answer

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

anonymous · Answer

13

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

so is it 0.042%?

anonymous · Answer

how would be work?