Final answer:
Given a fair spinner with four color options, each with an equal chance of occurring, one would expect the spinner to land on a non-purple section 30 times out of 40 spins, given that three out of four possible outcomes are not purple.
Step-by-step explanation:
The question involves predicting the number of times an event will occur, which is a basic probability concept in mathematics. Since the spinner has four sections, we can assume that each color has an equal chance of being landed on if the spinner is fair. Therefore, each color; Black, Blue, Orange, and Purple, has a probability of 1/4. To find the expected number of spins that will not be purple, we calculate 3/4 of the total spins (since three of the four outcomes are not purple). Multiplying 3/4 by the total number of spins (40), we get the expected number:
Expected number of spins not purple = 3/4 * 40 = 30
Thus, if Keri's spinner is spun 40 times, you would expect it to land on a section that is not labeled 'Purple' approximately 30 times.