Question

A spinner is divided into 5 equally sized segments colored blue, green, black, red, and yellow. Suppose you spin the wheel 2 times. What is the probability of landing on the same color each time? Give your answer as an exact fraction and reduce the fraction as much as possible.

Answer 1

1/5. The probability of landing on any color is 1/5. The probability of landing on one color two times in a row is 1/5 times 1/5 which is 1/25. Since we’re finding the probability of landing on the ANY color two times in a row, there are five colors, so... (1/25) times 5, which is equal to 1/5