3 If a die is rolled once compute the chance of getting an e

3. If a die is rolled once, compute the chance of getting an even number or a number less than 6 in two ways: First use problem 1 to compute the probability. Then list all desired outcomes as a set and compute the probability directly. 4. If a die is rolled twice, what is the probability of getting at most 10 for the sum of outcomes?

Solution

3.The chance of getting an even number is: 3/6=1/2

The chance of getting a number less than six is: 5/6

The chance of getting a number less than six and even is: 2/6=1/3

Thus the required probability is: ½+5/6-1/3=1

4.The sum of at most 10 occurs only when the outcomes are (5,5)

Thus the required probability is 1/36