Project 4:Probability, Counting Techniques and Odds and Expectations

Purpose: The purpose of this assignment is to demonstrate fundamental/counting techniques and apply those techniques to solve problems.

Assignment: Answer the following questions.

1. A single die is rolled, For the three events listed below, without calculating probabilities, put them in order from least to most likely based on an educated guess. Then compute each probability.

a)A 5

b) A number less than 5

c) An odd number

2. Explain the fundamental counting principle. Then think of a situation in every day life where you would use the fundamental counting principle.

3. Now you are the instructor. I want you to think of a real-life scenario for which it would be reasonable to compute probabilities using combinations, and one in which it would be reasonable to use permutations. Write your problem (don't use any examples in that were in your assignments). Then show how you would solve your scenarios.

4. According to the National Safety Council, the odds of dying due to injury at some point in your life are about 10:237. Find the probability of dying from injury.