Question 5 A large company plans to develop a private subdivision. There are 6 house models to I 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. a. 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. b. Use the results of the simulation to calculate the probability that a client will choose model B with a car garage.

Answer 1

a. To design a simulation, we can create a table to represent the possible combinations of house models and garage options:

House Model Garage Option
A Carport
A Garage
B Carport
B Garage
C Carport
C Garage
D Carport
D Garage
E Carport
E Garage
F Carport
F Garage

We can then use a random number generator to simulate a client's choice for each house model. For example, if the random number generator outputs 1 for house model A, the client chooses house model A, and if it outputs 2, the client chooses house model B. Similarly, if it outputs 1 for carport and 2 for garage, the client chooses carport or garage for the garage option.

b. After running the simulation multiple times, we can count the number of times a client chose model B with a car garage and divide it by the total number of simulations to calculate the approximate probability of a client choosing model B with a car garage.