A spinner is divided into 8 equal sections. lara spins the spinner 120 times. it lands on purple 30 times. how many more times does lara need to spin the spinner and have it land on purple for the relative frequency to equal the theoretical probability?

She should not spin the spinner any more times, the relative probability is already more than the theoretical probability.

If there is only 1 purple section out of 8, that gives purple a 12.5% chance of being spun.

However, Lara got purple 30 out of 120 times. That is 25%. She is already over.

How many of the sections were purple?