Rules of Probability Investments and 401k

Question

In a survey of 200 employees of a company regarding their 401(k) investments, the following data were obtained.

134	had investments in stock funds.
102	had investments in bond funds.
57	had investments in money market funds.
50	had investments in stock funds and bond funds.
35	had investments in stock funds and money market funds.
33	had investments in bond funds and money market funds.
21	had investments in stock funds, bond funds, and money market funds.

(a) What is the probability that an employee of the company chosen at random had investments in exactly two kinds of investment funds? (Enter your answer to three decimal places.)

(b) What is the probability that an employee of the company chosen at random had investments in exactly one kind of investment fund? (Enter your answer to two decimal places.)

(c) What is the probability that an employee of the company chosen at random had no investment in any of the three types of funds? (Enter your answer to three decimal places.)

Answer 1

I'd recommend using a three-circle Venn diagram of stocks, bonds, and money markets - and their overlaps - and working from the inside out to determine who was what of everything. Then the probabilities will be straightforward.