Question

a city has 20 radio stations, including 6 alternative stations. what is the probability that a randomly chosen radio station in this city is an alternative station? write your answer as a fraction or whole number. p(alternative) = \boxed{} submit

Explanation:

Step1: Recall probability formula

The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes. So, \( P(\text{event})=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \).

Step2: Identify values

Here, the number of favorable outcomes (alternative stations) is 6, and the total number of possible outcomes (total radio stations) is 20.

Step3: Calculate probability

Substitute the values into the formula: \( P(\text{alternative})=\frac{6}{20} \). Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 2. So, \( \frac{6\div2}{20\div2}=\frac{3}{10} \).

Answer:

\(\frac{3}{10}\)