Question 1: (7 marks) Olympia Sports store wants to determine whether or not to concentrate its advertising on ice skates for the serious athlete or the casual skater. The store also wants to know which type of use is the most popular. The marketing department gathered the following information from randomly selected customers.

Athlete Hockey Skate Figure Skate Speed Skate Serious 76 18 12 Casual 45 49 7

1. Find the probability that if one customer is randomly selected he/she is a serious ice skater and buys a skate primarily for Hockey.
2. Find the probability that if one customer is randomly chosen he/she is a serious skater oran athlete who buys skates for speed skating.
3. Given that a customer buys skates for figure skating, find the probability that the customer is a casual skater.
4. If two customers are randomly chosen (without replacement), find the probability that they will both buy skates primarily for hockey.

Question 2: (7 marks) A couple plans to have 4 children.

1. List the different outcomes according to the gender of each child. Assume that these outcomes are equally likely.
2. How manyeventsare possible? List them.
3. Find the probability of getting 3 girls.
4. Find the probability of getting exactly 2 children of each gender.

Question 3: (4 marks)

A study revealed that 55% of vacationers in Ontario visit Algonquin, 35% visitKillarneyand 25% visit both.

1. What is the probability that a vacationer will visit either Algonquin orKillarney?
2. What is the probability that a vacationer will visit Algonquin but notKillarney?

Question 4: (2 marks) A supervisor must visit 7 different distribution locations around the country. She can visit them in any order, but wishes to find the most convenient sequence. How many sequences are possible?

Question 5: (4 marks) There are 14 members on the board of directors for the International OlympicCommitee.

1. If they must elect a chairperson, first vice chairperson, second vice chairperson, and secretary, how many different slates of candidates are possible?
2. If they must form an ethics subcommittee of 5 members, how many different subcommittee are possible?