Assignment:
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?
Provide complete and step by step solution for the question and show calculations and use formulas.