Suppose that you are dealt a hand of 8 cards from a standard deck of 52 playing cards.
a) What is the probability that you are dealt no diamonds and exactly 1 jack?
b) What is the probability that you are dealt no more than 1 spade?
c) What is the probability that you are dealt at least 2 sevens and at least 3 fives?
a. There are 4 jacks in a deck but since there will be no diamonds, we are to work on 3 jacks only. Then on the remaining cards there are 39 total removing all diamonds, but we also have ...
This posting contains the solution to the given problems.