Chapter 6, Problem 115CR

The general addition rule for three events states that

$\begin{array}{l}P(AorBorC)=P(A)+P(B)+P(C)\\ -P(AandB)-P(AandC)\\ -P(BandC)+P(AandBandC)\end{array}$

A new magazine publishes columns entitled “Art” (A), “Books” (B), and “Cinema” (C). Suppose that

14% of all subscribers read A

23% read B

37% read C

8% read A and B

9% read A and C

13% read B and C

5% read all three columns

What is the probability that a randomly selected subscriber reads at least one of these three columns?