Question

In a hand of 5 cards, out of a 52 deck of cards, what is the probability that the five cards are all face cards?

Answer 1

are you familiar with 'choose' notation, n C r

Answer 2

yes I am.

Answer 3

There is a total of 12 face cards. The probability of drawing a face card first is 12/52. The probability of drawing a face card next, having drawn a face card on the first draw, is 11/51. Continuing this reasoning, the probability of drawing five face cards is given by:
\[\large P(5\ face\ cards)=\frac{12\times11\times10\times9\times8}{52\times51\times50\times49\times48}=you\ can\ calculate\]

Answer 4

using 'choosing' notation, you can choose 5 cards from the set of face cards

that will be your numerator.
the denominator is the total set of cards, choose 5

Answer 5

( 12 choose 5 ) / ( 52 choose 5)

check to see if it comes out the same as kropot's solution