60 goes in the overlap, but the sum of the numbers in the drama circle must be 85. That means that inside the drama circle but outside the overlap must be 85 - 60 = 25. Similarly, the Sports circle, outside of the overlap must be 140. Then 25 + 60 + 140 = 225 is the number of students that do one, the other, or both. And 330 minus 225 is the number that does neither.
The probability of an event is the number of outcomes that are considered a success divided by the total number of outcomes. When selecting one of these students at random, there are 330 total outcomes, and 105 successes possible if you are trying to choose a student that does neither Sports nor Drama.
John
My calculator said it, I believe it, that settles it
