Question

a car rental agency has 4 minivans and 8 other vehicles available. what is the probability that a randomly selected vehicle will be a minivan? write your answer as a fraction or whole number. p(minivan) =

Explanation:

Step1: Calculate total number of vehicles

Total number of vehicles = Number of minivans + Number of other vehicles. So, \(4 + 8=12\).

Step2: Use probability formula

The probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (minivans) is \(4\), and the total number of outcomes (total vehicles) is \(12\). So, \(P(\text{minivan})=\frac{4}{12}\).

Step3: Simplify the fraction

Simplify \(\frac{4}{12}\) by dividing numerator and denominator by their greatest - common divisor (which is \(4\)). \(\frac{4\div4}{12\div4}=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)