Question:

1. A horse-racing fan is contemplating the many different outcomes in an eight-horse race.

1. How many different outcomes are possible if only the first three places are considered and ranking (first, second and third) is important?
2. If each of the outcome in part a is equally likely, what is the probability of selecting a winning outcome?
3. How many different outcomes are possible if only the first three places are considered and ranking (first, second and third) is not important?
4. If each of the outcome in part c is equally likely, what is the probability of selecting a winning outcome?

(b) The "daily number" of a state lottery is a 4-digit integer from 0000 to 9999.

1. Sam buys a ticket for the number 1234. What is the probability that he will win?
2. Shirley buys a ticket for the number 1234 since it came up yesterday and she thinks it’s "hot". Is there a flaw in her logic? Explain.
3. An interior decorator must furnish three offices. Each office must have a desk, a chair, a file cabinet and 2 bookcases. At a local office furniture store there are 9 models of desks, 12 models of chairs, 3 models of file cabinets and 15 models of bookcases, all of which are compatible. (Any desk can be matched with any chair, etc.) How many choices does the decorator have if he wants to select three desks, three chairs, three file cabinets and six bookcases if he doesn't want to select more than one of any models?
4. Steve takes either a bus or the subway to go to work with probabilities 0.35 and 0.65, respectively. When he takes the bus, he is late 25% of the days. When he takes the subway, he is late 45% of the days. If Steve is late for work on a particular day, what is the probability that he took the bus?

Price: $2.99

Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document