Probability: Counting Outcomes

The video tutorial explains a probability game involving two spinners, A and B. Spinner A can land on 2, 3, 5, or 7, while Spinner B can land on 2, 3, 4, 5, or 6. Jack wins if one spinner lands on an odd number and the other on an even number. The tutorial demonstrates how to set up a sample space diagram to identify winning outcomes, calculate the probability of winning once (11/20), and then determine the probability of winning twice by multiplying the probabilities (121/400). The video also outlines the marking scheme for solving this problem.

What are the possible numbers that Spinner A can land on?

• 2, 4, 6, 8

• 3, 4, 5, 6

• 1, 2, 3, 4

• 2, 3, 5, 7

What is the purpose of creating a sample space diagram in this context?

• To determine the speed of the spinners

• To calculate the average number on the spinners

• To decide the color of the spinners

• To visualize the possible outcomes of the spinners

How many total outcomes are there in the sample space diagram for the spinners?

• 25

• 20

• 15

• 10

What is the probability of Jack winning the game once?

• 9/20

• 7/20

• 13/20

• 11/20

When calculating the probability of Jack winning twice, what operation is used?

• Subtraction

• Division

• Multiplication

• Addition

What is the final probability of Jack winning the game both times?

• 100/400

• 11/20

• 121/400

• 121/200

How many marks are available for correctly setting up the sample space diagram?

• Two

• Four

• Three

• One