Is this Probability and Venn Diagram question correct?

Question

I have this question, but I feel as if there is not enough information given to answer the question.

There are 1000 incoming calls to a company.

650 callers purchased televisions

550 callers purchased radios

200 callers neither purchased tvs or radios

only 800 calls resulted in new purchases

Draw a venn diagram to show the number of callers purchasing televisions, radios or neither.

What is the probability that:

a) televisions AND radios are purchased

b) either televisions OR radios are purchased

Please guide me to how to solve this question and let me know if there is an error in the question...

Thanks a lot for helping!

Answer 1

The question simply asks you to draw a Venn Diagram to find the probabilities. You'd start out by drawing the diagram, and then copying down the data, (650 callers for TVs,  550 callers for radios, etc.), into it. Then, after that, you'd answer the probability questions by using the Venn Diagram you just made with the data given by the problem. It's really that simple (:

Answer 2

a) 650+550 - 800 = 400

400/1000 = 2/5 =40%

b) 800/1000= 4/5 = 80%