Question

These are the only stations that Erik’s radio can pick up:RockPopCountryClassicalNewsJazzEasy ListeningRadIf Erik randomly selects one station to listen to, what is theprobability he will select either Country or Jazz?Keep your answer in fraction form

Answer 1

Hello!

First, notice that Erik has 8 different possibilities for radios:

• Rock

,

• Pop

,

• Country

,

• Classical

,

• News

,

• Jazz

,

• Easy Listening

,

• Rad

If he selects randomly one station, let's calculate the possibilities:

• select Country

$\frac{1\text{ option}}{8\text{ possible options}}=\frac{1}{8}$

• select Jazz

$\frac{1\text{ option}}{8\text{ possible options}}=\frac{1}{8}$

But attention:

What is the probability he will select either Country or Jazz?

As we have the word "or", it means that we have to sum these two possibilities, so:

$\text{Country}+\text{Jazz}=\frac{1}{8}\cdot\frac{1}{8}=\frac{2}{8}=\frac{1}{4}$

Answer:

1/4.