perplexus.info :: Probability : Card Deck: Complete a set, before...

Card Deck: Complete a set, before... (Posted on 2021-05-25)

A deck of cards is shuffled. You turn over the cards one by one.

1. What is the probability that at least one of each of the numbered denominations (1 - 10) is turned over before any of the twelve face cards is turned over?

2. What is the probability that at least one of each of the Jack, Queen and King is turned over before any numbered denomination (1 - 10) is turned over?

Before doing the calculation, which probability do you think is higher, and why? ... or are they the same?

For an extra challenge: Answer the same questions using a special 61-card deck consisting of 1 Ace, 2 Deuces, 3 Treys, through 10 tens, and 4 Jacks, 1 Queen and 1 King.

See The Solution Submitted by Charlie

Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re(2): Solution to extra challenge #2

Comment 3 of 3 |

(In reply to re: Solution to extra challenge #2 by Charlie)

Thanks, Charlie.

I'm good at making that type of error when working out the fractions by hand.

About the problem itself. I learned enough about how to do the problem that I could probably tackle the other parts now. I'll try a spreadsheet and approximate answers if I have time to work on it.

Posted by Jer on 2021-05-27 07:46:26

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