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.

Your individual products are correct, but the numerator of the total is wrong.

Posted by Charlie on 2021-05-26 15:24:47