Question

A poker hand (5 cards) is dealt. Find the chance that the cards are all hearts.

Answer 1

There are 13 cards in the suit of hearts in a standard 52 card pack.
This is sampling without replacement.
P(5 hearts) = 13C5 / 52C5

Answer 2

the answer is without replacement isnt it?

Answer 3

\[P(5\ hearts)=\frac{13\times 12\times 11\times 10\times 9}{52\times 51\times 50\times 49\times 48}\]

Answer 4

that's right thank you :)

Answer 5

You're welcome :)