The spinner below has 6 equal regions. Find the probability of landing on yellow for the first spin and not landing on yellow on the second spin.

• A. 0.11
• B. 0.22
• C. 0.66
• D. 0.88

Answer: (B)

Verified step by step guidance

1. Count the number of yellow regions on the spinner. There are 2 yellow regions out of a total of 6 regions.
2. Calculate the probability of landing on yellow for the first spin. This is the number of yellow regions divided by the total number of regions: \( \frac{2}{6} \).
3. Simplify the fraction \( \frac{2}{6} \) to \( \frac{1}{3} \) to find the probability of landing on yellow on the first spin.
4. Calculate the probability of not landing on yellow on the second spin. Since there are 4 non-yellow regions, the probability is \( \frac{4}{6} \), which simplifies to \( \frac{2}{3} \).
5. Multiply the probability of landing on yellow on the first spin (\( \frac{1}{3} \)) by the probability of not landing on yellow on the second spin (\( \frac{2}{3} \)) to find the combined probability of these two independent events.