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?

Verified Answer :

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

Answer:

Step-by-step 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)=\(\frac{1}{13}{\times}\frac{1}{12}{\times}\frac{1}{11}\)

P(JQK)=\(\frac{1}{1716}\)

P(KQJ)=\(\frac{1}{13}{\times}\frac{1}{12}{\times}\frac{1}{11}\)

P(KQJ)=\(\frac{1}{1716}\)

P(JQK or KQJ)=\(\frac{1}{1716}+\frac{1}{1716}\)

P(JQK or KQJ)=\(\frac{1}{858}\)≈0.0012