Question

A company makes 150 bags.

43 of the bags have buttons but no zips.
38 of the bags have zips but no buttons.
34 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?

PLEASE ANSWER IN FRACTIONS

Answer 1

`(1)/(2)`

Explanation:

first ,let’s calculate the number of bags made by the company that have both buttons and zips :

150-(43+38+34)

=35

a bag that has buttons : either has buttons but no zips or has both buttons and zips

Then

The number of the bags that have buttons is :

43+35 = 78

………………………

Conclusion:

the probability that the bag has buttons is :

`=(75)/(150) = (1)/(2)`