Question

If you separate all the clubs from a deck of cards and pick 3 of those 13 cards, what is the probability that the cards are jack, queen, and king in ascending or descending order?

Answer 1

that would be 1/858 for jack, queen, or king of those 13 cards.

Answer 2

Explanation:

Given: separate all the clubs from a deck of cards and pick 3 of those 13 cards.

To find: probability that the cards are jack, queen, and king in ascending or descending order

Solution: Ascending and descending are mutually exclusive , thus

P(JQK)=
`(1)/(13){*}(1)/(12){*}(1)/(11)`

P(JQK)=
`(1)/(1716)`

P(KQJ)=
`(1)/(13){*}(1)/(12){*}(1)/(11)`

P(KQJ)=
`(1)/(1716)`

P(JQK or KQJ)=
`(1)/(1716)+(1)/(1716)`

P(JQK or KQJ)=
`(1)/(858)`≈0.0012