To find the probability of the arrow landing on the purple section, we need to know the total number of spins. From the given results, we can see that the arrow has been spun a total of:
15 + 24 + 12 + 9 = 60 times
Out of these 60 spins, we know that the arrow landed on the purple section 9 times. Therefore, the probability of the arrow landing on the purple section can be calculated as:
P(purple) = number of times the arrow landed on purple / total number of spins
= 9 / 60
= 3 / 20
Therefore, the probability of the arrow landing on the purple section is 3/20. Answer: B.