# shuffle a deck of cards and cut it into three piles ,what probability that (at least) a court card will turn up on top of one of the piles?

shuffle a deck of cards and cut it into three piles ,what probability that (at least) a court card will turn up on top of one of the piles ? Hint : there are 12 court card ( four jacks,four queens and four kings ) in the deck

• The pile stuff is irrelevant, if the piles must be non-empty, it is the same as if we are drawing $3$ cards. If empty piles are allowed, the problem is more interesting. – André Nicolas Mar 17 '14 at 0:52

## 1 Answer

Hint: you are drawing three cards from the deck without replacement. What is the probability that the first one is not a court card? Given that the first was a non-court card, what is the chance the second is not a court card? So the chance that neither the first nor the second is a court card is what? One more step for the third.