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