Assignment:
Q1. Suppose that you are dealt a hand of 9 cards from a standard deck of 52 playing cards.
a. What is the probability that you are dealt exactly 3 kings?
b. What is the probability that you are dealt 9 cards of the same suit?
c. What is the probability that you are not dealt at least 2 cards of each suit?
Q2. In how many ways can the letters in the word POSSESSIONS be arranged?
a. In how many ways can they be arranged if the first letter must be an S and the last letter must be an E?
Provide complete and step by step solution for the question and show calculations and use formulas.