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, ?
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.
To find the probability of randomly selecting a 4 bedroom home with an open porch, we need to determine the total number of possible outcomes and the number of outcomes that satisfy the given condition.
From the information given, we can identify the following:
Number of Bedrooms: 5 bedroom, 4 bedroom, and 3 bedroom.
Style of Kitchen: Mediterranean, contemporary, and southwestern.
Type of Porch: Open, screen, ?
Since the question only asks for the probability of selecting a 4 bedroom home with an open porch, we do not need to consider the other factors (such as the style of the kitchen).
Let's consider the possibilities for the type of porch:
Type of Porch: Open, screen, ?
Since the question specifies that the home must have an open porch, we can eliminate the other type of porch options (in this case, screen). Therefore, we only need to consider the open porch.
Now, let's consider the possibilities for the number of bedrooms:
Number of Bedrooms: 5 bedroom, 4 bedroom, and 3 bedroom.
Since the question asks for the probability of selecting a 4 bedroom home, we can eliminate the other options (5 bedroom and 3 bedroom).
Therefore, the only remaining option that satisfies the given condition is a 4 bedroom home with an open porch.
Out of the total possible outcomes, which is the total number of homes offered by the builder, there is only one outcome that satisfies the given condition.
Hence, the probability of randomly selecting a 4 bedroom home with an open porch from the homes offered by the builder is 1 out of the total number of homes offered.
To calculate the exact probability, we would need to know the total number of homes offered by the builder.