A spinner has several colored sections of equal size. There are 3 purple sections, 2 yellow, 2 red, and 1 blue. Find the theoretical probability of landing on purple.
The total number of sections on the spinner is 3 (purple) + 2 (yellow) + 2 (red) + 1 (blue) = 8.
The probability of landing on purple is the number of purple sections (3) divided by the total number of sections (8):
3/8
Therefore, the theoretical probability of landing on purple is 3/8 or 0.375 or 37.5%.