Read about the ‘listing the ways’ method for determining probability, pp. 237 - 240.

1. Try to understand how figure one is obtained. Now is it clear why the chance of rolling snake-eyes is 1/36? What is the chance of rolling a total of 8?

2. A box contains 3 tickets; 0 1 1. What is the chance of drawing at least one 1 in if two draws are made from the box with replacement. (Try to list all the ways of drawing two cards.)

3. Answer questions 2 and 3 from exercise set A

4. Which of the following pairs of events are mutually exclusive?

A) 1^st event: The next vehicle that you see coming down the street will be white. 2^nd event: The next vehicle that you see coming down the street will be green.

B) 1^st event: The next vehicle that you see coming down the street will be white. 2^nd event: The next vehicle that you see coming down the street will be a monster truck.

C) 1^st event: An ace is drawn from a deck of 52 cards. 2^nd event: A face card is drawn from a deck of 52 cards.

5. True or False. A single event can be called mutually exclusive.

6. True or False. A single event can be called independent.

Follow as many of the numerical examples as you can in sections 2 and 3.

Follow as many of the numerical examples as you can in sections 2 and 3.

7. What is the chance of rolling a 6 or an odd number on a single roll of a die?

8. What is wrong with this argument: The chance of rolling an ace on a die is 1/6. That means that the chance of rolling at least one ace on two rolls of the die is 1/6+1/6=1/3.

9. What is wrong with this argument: The chance of rolling an ace on a die is 1/6. That means that the chance of rolling at least one ace on seven rolls of the die is 1/6+1/6+1/6+1/6+1/6+1/6+1/6=7/6, i.e. more than 100%.

10. Try to follow through with the dialogue but determine the chance of rolling at least one ace in three rolls of a die. What is that probability?