The table shows the kinds of homes offered by a residential builder. If the builder offers a discount on one home at random, find the probability it will be a 4 bedroom home with an open porch. Explain your reasoning. Number of Bedrooms: 5 bedroom, 4 bedroom, and 3 bedroom. Style of Kitchen: Mediterranean, contemporary, and southwestern. Type of Porch: Open, screen, ?

Answer 1

We are given that there are three categories for the number of bedrooms, three categories for the style of kitchen, and three categories for the type of porch. This means there are a total of 3 x 3 x 3 = 27 possible types of homes.

Since we are looking for the probability of selecting a 4 bedroom home with an open porch, we need to count the number of homes that meet these criteria. From the table, we see that there are 3 options for the style of kitchen for a 4 bedroom home with an open porch. Therefore, there are a total of 3 possible homes that meet the criteria.

The probability of selecting one of these three homes out of the 27 possible homes is:

P(selecting a 4 bedroom home with an open porch) = 3/27 = 1/9

So the probability of selecting a 4 bedroom home with an open porch is 1/9.