Name:    Lesson 7.2: Using Probabilities to Make Decisions

Matching

Two players spun the spinner below twice and then calculated the product of the two numbers. They did this 20 times and recorded the numbers in the table below. Player 1 won when the product was odd and Player 2 won when the product was even.

 Game Number 1 2 3 4 5 6 7 8 9 10 Spin 1 5 2 3 1 2 3 4 3 5 5 Spin 2 1 4 5 3 5 1 3 5 5 2 Product 5 8 15 3 10 3 12 15 25 10

 Game Number 11 12 13 14 15 16 17 18 19 20 Spin 1 3 4 2 1 1 2 2 3 5 5 Spin 2 3 2 3 3 3 2 1 3 3 2 Product 9 8 6 3 3 4 2 9 15 10

Outcome Table for the Game
 ´ 1 2 3 4 5 1 1 2 3 4 5 2 2 4 6 8 10 3 3 6 9 12 15 4 4 8 12 16 20 5 5 10 15 20 25

Match each question below with its answer.
 a. b. c. No, because the outcome table shows that there are more even products than odd products. This means that Player 2 has more chances to win. d. e. f. Player 2, because the outcome table shows that there are more even products. g. Player 1 h. Yes, because each number on the spinner is equally likely to be landed on.

1.

What percentage of times did Player 1 win?

2.

What percentage of times did Player 2 win?

3.

Which player won the most games?

4.

What is the theoretical probability that Player 1 will win?

5.

What is the theoretical probability that Player 2 will win?

6.

Which player is more likely to win if they played another 20 games?

7.

Is the game fair? How do you know?

8.

Is the spinner fair?