In a class of 50 high school juniors, 32 students either play a sport or are in the marching band. There are 22 juniors who playa sport and 16 who are in the marching band. What is the probability that a randomly selected junior plays a sport and is in the marching band

The answer is supposed to be 3/25, but I am not getting that.

1 answer

22+16-32 = 6
So, there are 6 juniors who do both.

P(both) = 6/50 = 3/25