Question

A company makes 100 bags. 32 of the bags have buttons but no zips. 32 of the bags have zips but no buttons. 35 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

32%, 8/25

Explanation:

Since we are looking under the category of buttons, only 1 of the 3 options fit the description. 32 have buttons but no zips. All the others are either just zip or neither of them.

This means out of 100, only 32 have buttons

32/100 or 32%

We can simply 32/100 to 8/25

Answer 2

8 / 75

Explanation:

the probability of choosing a bag with buttons is ⅓ since there are three types of bags(with buttons, with zips and with neither)

there are 32 bags with buttons out of the 100, probability of choosing a bag with buttons is 32 / 100

multiply the two values

⅓ × 32 / 100

= 8 / 75