Final answer:
The probability that the arrow will land on the purple section of the spinner is calculated by dividing the number of purple results (12) by the total number of results (60), resulting in a probability of 1/5 or 20%.
Step-by-step explanation:
The question is asking about the probability of the arrow landing on the purple section of a spinner with four different colored sections (orange, red, blue, and purple), each with a different number of results (orange: 9, red: 15, blue: 24, purple: 12). To calculate this probability, you need to use the basic probability formula which is:
Probability of an event = (Number of ways the event can occur) / (Total number of possible outcomes)
So the probability that the arrow will land on the purple section is:
Probability of purple = Number of purple results / Total results = 12 / (9 + 15 + 24 + 12) = 12 / 60 = 1 / 5
Therefore, the probability is 0.2, or 20%.