The spinner below has 6 equal colored regions numbered 1-6. Find the probability of stopping on yellow for the first spin, stopping on an even number on the second spin, and stopping on blue or red on the third spin.

• A. 0.11
• B. 0.17
• C. 0.50
• D. 0.89

Answer: (A)

Verified step by step guidance

1. Identify the total number of regions on the spinner, which is 6.
2. Determine the probability of stopping on yellow for the first spin. There are 2 yellow regions (numbered 2 and 5), so the probability is \( \frac{2}{6} \) or \( \frac{1}{3} \).
3. Determine the probability of stopping on an even number on the second spin. The even numbers are 2, 4, and 6, so there are 3 even numbers. The probability is \( \frac{3}{6} \) or \( \frac{1}{2} \).
4. Determine the probability of stopping on blue or red on the third spin. There are 2 blue regions (numbered 3 and 6) and 2 red regions (numbered 1 and 4), making a total of 4 regions. The probability is \( \frac{4}{6} \) or \( \frac{2}{3} \).
5. Multiply the probabilities of each independent event to find the overall probability: \( \frac{1}{3} \times \frac{1}{2} \times \frac{2}{3} \).