a hand of 13 cards are chosen at random from a deck of 52 playing cards. What is the probability that a hand is void in at least one suit.
Hint: Note that the answer is not (4 1)(39 13) / (52 13)
Thank you so much
The number of ways of selecting a hand of cards void in hearts is (we can divide by if we wish to not distinguish between permutations, but we don't need to here)
So the number of ways of selecting a hand void in some suit is
The total number of hands is
The probability you seek is the ratio of these.