Question

In a survey, four out of seven people named blue as their favorite color. One out of three named red. If 1,092 people were included in the survey, how many named neither blue nor red as their favorite color?

Answer 1

We can first find the probability of the people having blue or red as their favorite colour:

4/7+1/3
= 4×3/7×3 + 1×7/7×3
= 12/21 + 7/21
= 19/21

We can then find the number of people who like blue and red:

1092×19/21
=988

We can then find the number who like neither blue or red by deducting the total number of people by the above answer:

1092-988
=104

There are 104 people who named neither blue or red as their favorite colour.

Hope it helps!