Questions: A motor company is manufacturing trucks, sedans, minivans, SUVs, four-wheeler ATV, and motorcycles. The dots in the Venn diagram below show the type of each vehicle. A vehicle is selected at random. - Let A be the event of selecting a four-wheeled vehicle. - Let B be the event of selecting a truck or a motorcycle. Move the dots on the Venn diagram to place the dots in the correct region.

A motor company is manufacturing trucks, sedans, minivans, SUVs, four-wheeler ATV, and motorcycles. The dots in the Venn diagram below show the type of each vehicle. A vehicle is selected at random. - Let A be the event of selecting a four-wheeled vehicle. - Let B be the event of selecting a truck or a motorcycle. Move the dots on the Venn diagram to place the dots in the correct region.
Transcript text: A motor company is manufacturing trucks, sedans, minivans, SUVs, four-wheeler ATV, and motorcycles. The dots in the Venn diagram below show the type of each vehicle. A vehicle is selected at random. - Let $A$ be the event of selecting a four-wheeled vehicle. - Let $B$ be the event of selecting a truck or a motorcycle. Move the dots on the Venn diagram to place the dots in the correct region. Provide your answer below:
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem involves a Venn diagram with two events:

  • Event A: Selecting a four-wheeled vehicle.
  • Event B: Selecting a truck or motorcycle.
Step 2: Identify the Vehicles

The vehicles mentioned are:

  • Trucks
  • Sedans
  • Minivans
  • SUVs
  • Four-wheeler ATVs
  • Motorcycles
Step 3: Classify the Vehicles

Classify each vehicle based on the given events:

  • Four-wheeled vehicles (Event A): Trucks, Sedans, Minivans, SUVs, Four-wheeler ATVs
  • Trucks or motorcycles (Event B): Trucks, Motorcycles
Step 4: Place the Vehicles in the Venn Diagram
  • Trucks: Both A and B (intersection)
  • Sedans: Only A
  • Minivans: Only A
  • SUVs: Only A
  • Four-wheeler ATVs: Only A
  • Motorcycles: Only B

Final Answer

  • Intersection of A and B: Trucks
  • Only A: Sedans, Minivans, SUVs, Four-wheeler ATVs
  • Only B: Motorcycles
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