Please help with statistical probability questions

Question

In a certain Algebra 2 class of 30 students, 16 of them play basketball and 8 of them play baseball. There are 12 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answer 1

Here's another way to think about it: 16 play basketball + 8 play baseball + 12 don't play either. That's a total of 36. But there are only 30 students, so 36 - 30 = 6 must play both. If you drew a Venn diagram the overlap of the circles for basketball and baseball would contain 6 students. Again, the probability of a student playing both is 6/30 or 1/5 or 20%.

Answer 2

Of the 30 students, 12 don't play either sport, so that means 18 students play at least one sport. Since 16 play basketball, the remaining 2 play only baseball. So that leaves 6 (8 - 2) who play both baseball and basketball. So the probability is 6/30 or 1/5.