The radio broadcast of AM station KTBC can be heard in the neighboring towns of Waterville and Newport. Of the total number of radio listeners in Waterville and Newport, 75% live in Waterville and 25% live in Newport. Radio station KTBC has 20% of the market in Waterville and 30% of the market in Newport.

If a random listener in Waterville or Newport is surveyed, what is the probability that the listener will be tuned in to station KTBC?

The required probability is 22.5%.

Step-by-step explanation:

Since we have given that

Probability of radio listeners live in Waterville = 0.75

Probability of radio listeners live in Newport = 0.25

Probability of radio station KTBC in Waterville = 0.20

Probability of radio station KTBC in Newport = 0.30

So, using "Multiplication rule of Probability":

Probability that the listener will be tuned in to station KTBC is given by

Hence, the required probability is 22.5%.