Assignment:
Q1. 30 basketballs (15 Spalding, 10 Wilson, and 5 other brand name balls) are on a basketball court. Barry Wood closes his eyes and arbitrarily picks up a ball from the court. Determine the probability that the ball selected is a Wilson or a Spalding.
Q2. A pet shop is selling a calico cat, a Siamese cat, a Persian cat, and a Himalayan cat. The Chens are going to select two cats to bring home as pets.
a. Determine the number of points in the sample space.
b. Construct a tree diagram and list the sample space.
Determine the probability that they selected
c. The Persian cat
d. The Persian cat and the calico cat
e. Cats other than the Persian cat
Q3. Problem solving
A social security number consists of nine digits. How many different social security numbers are possible if repetition of digits is permitted?
Provide complete and step by step solution for the question and show calculations and use formulas.