A large company plans to develop a private subdivision. There are 6 house models to choose from and, for each model, a client may opt to have a garage or a carport. Use A, B, C, D, E, and F as labels for the house models. In 3 sentences answer Questions 1 and 2.

Question

A large company plans to develop a private subdivision. There are 6 house models to choose from and, for each model, a client may opt to have a garage or a carport. Use A, B, C, D, E, and F as labels for the house models. In 3 sentences answer Questions 1 and 2.

1. Design a simulation to generate frequencies that can be used to approximate the probability of a client who will choose model B with a car garage.
2. Use the results of the simulation to calculate the probability that a client will choose model B with a car garage.

Answer 1

To design a simulation, we can randomly generate choices for each client for house models (A-F) and garage options (garage or carport) according to certain probabilities. By running the simulation multiple times and recording the frequency of clients choosing model B with a car garage, we can approximate the probability. Once the simulation is complete, we can calculate the probability by dividing the frequency of clients choosing model B with a car garage by the total number of simulations.