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.
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.
a. One way to design a simulation is to generate random numbers representing each possible choice a client can make. For example, assigning the numbers 1-12 to represent the 6 house models with either a garage or carport option. Then, using a random number generator, simulate the choices made by a large number of clients (e.g. 1000 clients).
b. After running the simulation, count the number of times a client chose model B with a car garage. Let's say this occurred 150 times out of the 1000 simulations. To calculate the probability, divide the number of times model B with a car garage was chosen by the total number of simulations: 150/1000 = 0.15.
Therefore, the probability that a client will choose model B with a car garage is approximately 0.15 or 15%.