The spinner will be spun two times. What is the probability that both spins result in the same color? Enter your answer as a fraction in simplest terms
There are 2 Of Yellow 3 of pink and 3 of blue
To find the probability of both spins resulting in the same color, we need to first calculate the total number of possible outcomes.
The total number of possible outcomes when spinning the spinner twice is (2 + 3 + 3) * (2 + 3 + 3) = 36.
To find the number of favorable outcomes, where both spins result in the same color, we need to consider the possibilities for each color:
- Yellow: There are 2 yellow sections on the spinner, so the probability of both spins resulting in yellow is (2/8) * (2/8) = 4/64 = 1/16.
- Pink: There are 3 pink sections on the spinner, so the probability of both spins resulting in pink is (3/8) * (3/8) = 9/64.
- Blue: There are 3 blue sections on the spinner, so the probability of both spins resulting in blue is (3/8) * (3/8) = 9/64.
Adding up the probabilities for each color, the total probability of both spins resulting in the same color is (1/16) + (9/64) + (9/64) = 19/64.
So, the probability that both spins result in the same color is 19/64.