what is the the probability of drawing 5 cards of all differ

what is the the probability of drawing 5 cards of all different kinds in a normal deck of cards

kinds= (A,2,3,4,5.....J,Q,K)

Solution

There are 52C5 ways to draw any 5 cards.

There are 13C5 ways to get 5 diffrent ranks, and 4^5 ways to choose the suits of the ranks. Hence, there are (13C5)*(4^5) ways to do it.

Hence,

P = (13C5)(4^5)/(52C5) = 0.507082833 [ANSWER]