IT 223: Data Analysis
Winter 2006

Assignment 4

Due Friday February 10 before 11:30 pm
All submission are by DL Web Submission

Marble Jar Problems

The following problems refer to a marble jar which has 10 red marbles, 15 black marbles and 25 white marbles.

1. What is the chance of drawing a red marble?
2. What is the chance of drawing a white marble, replacing it and drawing a white marble again?
3. What is the chance of drawing a white marble twice without replacing it between draws?
4. What is the chance of not drawing a black marble?
5. Three draws are performed in a row, replacing the drawn marble each time. What is the chance that none of the three draws were a black marble?
6. Three draws are performed in a row, replacing the drawn marble each time. What is the chance that at least one of the three draws were a black marble? (hint: use your answer in the last question to answer this question)

Dice problems

1. Assume that a pair of 5-sided dice is rolled. List all of the possible rolls to answer the remaining questions.
2. What is the chance of throwing doubles (each die has the same value)?
3. What is the chance of rolling a sum of 4?
4. What is the chance of rolling a sum of at least 8?

Submission

Submit a report that responds to the numbered instructions.