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 sentences answer 1 and 2 questions.
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.
To design a simulation, we can generate random numbers to represent the choices of clients. For each client, we can randomly select a house model (A, B, C, D, E, or F) and whether they want a garage or carport. We can repeat this process a large number of times to generate frequencies for each combination of house model and garage/carport choice.
Using the results of the simulation, we can calculate the probability that a client will choose model B with a car garage by dividing the frequency of clients choosing model B with a car garage by the total number of simulations conducted. This will give us an approximation of the probability based on the data generated from the simulation.