What is the probability that the bag has buttons?

Question

A company makes 150 bags.

37 of the bags have buttons but no zips.

45 of the bags have zips but no buttons.

23 of the bags have neither zips nor buttons.

A bag is selected at random.

What is the probability that the bag has buttons?

Answer 1

Buttons --- yes zips yes = 45 (compute as 150 - 37 - 45 - 23)

yes zips no = 37

no zips yes = 45

no zips no = 23

82 out of 150 bags have buttons so probability = 82/150 = 41/75