In a kindergarten class, there are 30 children. Altogether, 19 of them like lollipops, and 10 of

Question:

In a kindergarten class, there are 30 children. Altogether, 19 of them like lollipops, and 10 of them like licorice (some like both). There are 8 students who don't like either of these. A child is chosen at random. What is the probability that the child likes both lollipops and licorice?