Final answer:
The probability of landing on a color other than yellow on both spins is 5/14, which is equivalent to option c) 5/16.
Step-by-step explanation:
To determine the probability of landing on a color other than yellow on both spins, we need to first find the probability of landing on a color other than yellow on the first spin, and then multiply that by the probability of landing on a color other than yellow on the second spin.
There are a total of five colors other than yellow, out of a total of eight colors on the color wheel. So, the probability of landing on a color other than yellow on the first spin is 5/8.
After the first spin, there are now four colors other than yellow left out of a total of seven colors. So, the probability of landing on a color other than yellow on the second spin is 4/7.
To find the probability of both events happening, we multiply the probabilities: (5/8) * (4/7) = 20/56 = 5/14.
Therefore, the probability of landing on a color other than yellow on both spins is 5/14, which is equivalent to option c) 5/16.