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 mode (in a short paragraph give answers and each step the answers of this questions)
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.
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 start by setting up a random number generator to select a house model (A, B, C, D, E, or F) for each client. We can assign probabilities to each model based on the number of clients who have chosen that model in the past. Next, we can use another random number generator to determine if the client opts for a garage or a carport. Again, probabilities can be assigned based on historical data.
Once we run the simulation for a large number of clients, we can calculate the frequency with which clients choose model B with a car garage. This frequency can then be used to approximate the probability of a client choosing this specific combination.
For example, if after running the simulation for 1000 clients, we find that 50 clients chose model B with a car garage, then the probability can be calculated as 50/1000 = 0.05 or 5%.
This probability can then be used by the company to plan for the development of the private subdivision, taking into account the preferences of potential clients.