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 and calculate the probability of Jack winning the game once and twice. The probability of winning once is 11/20, and for winning twice, it is 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, 3, 5, 7

• 1, 2, 3, 4

• 3, 4, 5, 6

• 2, 4, 6, 8

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

• To calculate the speed of the spinners

• To determine the color of the spinners

• To visualize the possible outcomes of the spinners

• To find the weight of the spinners

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

• 15

• 20

• 25

• 30

What is the probability of Jack winning the game once?

• 12/20

• 9/20

• 10/20

• 11/20

What operation is used to calculate the probability of Jack winning the game both times?

• Division

• Subtraction

• Multiplication

• Addition

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

• 150/400

• 200/400

• 121/400

• 100/400

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

• Four

• Three

• One

• Two