Math Problem Statement

A car dealership has various combinations of vehicles in their car lot, all of which have an equally likely chance of being selected. Use the list of options below to determine the probability of each vehicle being selected. VEHICLE: SEDAN, SUV, TRUCK. EXTERIOR: RED, BLUE, SILVER, BLACK. INTERIOR: LEATHER, CLOTH. 1. An SUV with a blue exterior. 2. A sedan with cloth interior. 3. A red or blue SUV. 4. A truck that is not silver. 5. An SUV or a truck that is red or black with cloth interior. 6. A truck that is black or blue and has leather interior.

Solution

The image you've uploaded is related to a probability problem involving a car dealership with various combinations of vehicles, where each has an equally likely chance of being selected. The goal is to determine the probability of selecting specific combinations based on the categories provided: VEHICLE (sedan, SUV, truck), EXTERIOR (red, blue, silver, black), and INTERIOR (leather, cloth).

Here are the questions shown in the image:

  1. An SUV with a blue exterior.
  2. A sedan with a cloth interior.
  3. A red or blue SUV.
  4. A truck that is not silver.
  5. An SUV or a truck that is red or black with cloth interior.
  6. A truck that is black or blue and has leather interior.

To help with these problems, I will walk you through calculating the probabilities for each one based on the given options.

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Math Problem Analysis

Mathematical Concepts

Probability
Combinations
Basic Set Theory

Formulas

Total number of possible outcomes = Number of vehicles × Number of exteriors × Number of interiors
Probability of an event = (Number of favorable outcomes) / (Total number of outcomes)

Theorems

Basic probability rules
Principle of equally likely outcomes

Suitable Grade Level

Grades 6-8

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