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:
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