Feb. 26-Mar. 1

Grade 7 Problem of the Week Feb. 26-Mar. 1

1.  Draw 3 spinners. Each spinner will have 4 sections as well as a pointer (arrow).

Each spinner should fit the criteria below. 

spinner 1 - a, b, c, d, and are all equally likely to win.

spinner 2 - it is impossible for a or b to win

spinner 3 - a or b will probably win.

2. A cube with 4 different colours is rolled, the table shows the possible outcomes.

Colour on the Cube Frequency

Red 37

Blue 21

Green 29

Purple 28

1. What is the experimental probability of rolling purple?

2. What is the experimental probability of rolling blue?

3. What is the experimental probability of rolling yellow?

3. Use the table and answer the questions.

Number on the Cube 1 2 3 4 5 6

Frequency 8 3 9 6 4 6

a. What is the theoretical probability that an even number will be rolled on a number cube?

b. What was the experimental probability of how many times an even number was actually rolled using the table?

c. If you roll a number cube 36 times, how many times would you expect to roll the number one? Explain your answer.

d. What is the theoretical probability for rolling a number greater than 4? 

e. What was the experimental probability of rolling a number greater than 4? 

f. Explain the difference between theoretical and experimental probability?