Lesson 2

Discover

 

Try This 1

 

Complete the following Try This questions as you work through the Sample Space for Rolling Two Dice multimedia piece. Keep the multimedia piece open. You will need it to answer the questions from Game A and Game B.

 

 

Janek and Violeta are playing a board game using two different sets of rules. Compare the probability between the two sets of rules to determine whether Janek will move on his turn.

 

Game A

 

In order to move, Janek must roll either doubles or a sum of 7 with two dice.

1. Determine the probability of throwing doubles, P(throwing doubles).
2. Determine the probability of rolling a of 7, P(sum of 7).
3. Using a Venn diagram, can you calculate P(throwing doubles or rolling a sum of 7)? This is the probability Janek will move on his turn.

Game B

 

Janek and Violeta decide to change the rules. In order to move now, a player must either have a sum greater than or equal to 10 or a sum that is an even number with two dice.

 

Continue on to Game B of Sample Space for Rolling Two Dice. Try to solve the probability that Janek will move on his turn.

4. Determine P(sum greater than or equal to 10).
5. Determine P(even sum).
6. Using a Venn diagram, can you calculate P(sum greater than or equal to 10 or an even sum)? This is the probability Janek will move on his turn.

Save your responses in your course folder.

 

Share 1

 

Discuss the following questions with a partner or in a group.

1. Compare the Venn diagrams from Game A and Game B. What is similar? What is different?
2. When you calculated the probability in Game A, describe the procedure you used.
3. When you calculated the probability in Game B, describe the procedure you used.
4. Write a formula for calculating the probability P(throwing doubles or rolling a sum of 7)?
5. Write a formula for calculating the probability P(sum greater than or equal to 10 or an even sum)?

If required, place a summary of your discussion in your course folder.