High School

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A rental car company allows a customer to select any car available on the lot. Currently, there are:

- 3 blue sedans
- 2 tan trucks
- 2 black trucks
- 4 red convertibles
- 4 blue minivans
- 2 black SUVs
- 3 tan hybrids

What is the probability a customer will select a black vehicle?

Answer :

To find the probability of a customer selecting a black vehicle, we need to determine the total number of black vehicles and the total number of vehicles available.

Here's the step-by-step process:

  1. List the number of each type of vehicle:

    • Blue sedans: 3
    • Tan trucks: 2
    • Black trucks: 2
    • Red convertibles: 4
    • Blue minivans: 4
    • Black SUVs: 2
    • Tan hybrids: 3

  2. Find the total number of black vehicles:

    • Black trucks: 2
    • Black SUVs: 2
    • Total black vehicles = 2 (black trucks) + 2 (black SUVs) = 4

  3. Calculate the total number of vehicles:

    • Total vehicles = 3 (blue sedans) + 2 (tan trucks) + 2 (black trucks) + 4 (red convertibles) + 4 (blue minivans) + 2 (black SUVs) + 3 (tan hybrids) = 20

  4. Determine the probability of selecting a black vehicle:

    • Probability = [tex]\frac{\text{Number of black vehicles}}{\text{Total number of vehicles}} = \frac{4}{20}[/tex].

  5. Simplify the probability fraction:

    • [tex]\frac{4}{20} = \frac{1}{5}[/tex].

Therefore, the probability that a customer will select a black vehicle is [tex]\frac{1}{5}[/tex], or 20%.

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Rewritten by : Barada