Q16. The spinner at the right is spun 1 time. Find each of the following probabilities:

• a)

• b)

• c)

Background

Topic: Basic Probability (Discrete Sample Space)

This question tests your understanding of calculating probabilities for simple events using a spinner with equally likely outcomes. You need to identify relevant outcomes and use the probability formula for discrete events.

Key Terms and Formulas

• Sample Space (): The set of all possible outcomes. Here, .

• Probability of an event ():

• Even numbers: Numbers divisible by 2 (here: 2, 4, 6, 8).

• Prime numbers: Numbers greater than 1 with only two positive divisors (here: 2, 3, 5, 7).

Step-by-Step Guidance

1. List all possible outcomes for the spinner: .

2. For part (a), identify the outcomes for "2 or 3": .

3. For part (b), identify all even numbers (2, 4, 6, 8) and add 3 if it's not already included. List all outcomes for "even or a 3": .

4. For part (c), identify numbers that are both prime and even. Recall that 2 is the only even prime number in the sample space.

5. For each part, use the probability formula: (since there are 8 sections).

Try solving on your own before revealing the answer!