Question

How many ways are there to pick 3 different cards from a standard 52 card deck such that: (Each of the following parts is independent of the others.) (a). The first card is a Jack, the second card is a King and the third card is not a Queen.

Answer 1

736 ways

Explanation:

There are 4 Jacks in a standard 52 card deck, thus there is a 4 in 52 chance that the first card is a jack. There are then 51 cards left of which 4 are Kings. For the last card, There are 4 Queens in the remaining 50 cards, so there are 46 possible cards that are not a Queen. The number of possible hands that match the criteria is:

`n=4*4*46\\n=736\ ways`

There are 736 ways to pick those cards.