There are 700 students in a high school. 10% of them play team sports. 36 students play football, and 22 students play both football and basketball. When choosing one student from the school, what is the probability of them playing basketball only?

We know that 10% play team sports, that means 700*0.1=70 students play team sports. Out of those 70, 36 students play football, 22 play both sports, that means 36-22=14 play football only. Let's draw a diagram. We can see that so far we know that 22+14=36 students play team sports. We know that all together, 70 students play. That means 70-36=34 students play basketball only. Out of 700 students, 34 play basketball only, so the probability is 34/700 when choosing one, which equals 17/350 when simplified.