Final answer:
The probability of the spinner not landing on purple, denoted as P(not purple), is 3/4, which is equal to 0.75 when expressed as a decimal.
Step-by-step explanation:
The student has spun a spinner divided into four equal sections colored pink, purple, blue, and green. The probability of not landing on the purple sector, denoted as P(not purple), is the probability of landing on one of the other three sectors. Since all sectors are equal, each has a probability of 1/4 or 0.25. To find P(not purple), we add the probabilities of landing on the pink, blue, and green sectors:
- P(pink) = 1/4
- P(blue) = 1/4
- P(green) = 1/4
P(not purple) = P(pink) + P(blue) + P(green) = 1/4 + 1/4 + 1/4 = 3/4. When expressed as a decimal, this is 0.75.