Mathematics: 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?

50000+0000+000+00+0 that s how you write it in exponents...

If you separate all the clubs from a deck of cards

probablyacommunist

10.06.2020

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

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