The two-way table shows the number of houses on the market in the Castillos' price range.

\begin{tabular}{|c|c|c|c|c|c|}
\hline & \begin{tabular}{c}
1 \\
Bedroom
\end{tabular} & \begin{tabular}{c}
2 \\
Bedrooms
\end{tabular} & \begin{tabular}{c}
3 \\
Bedrooms
\end{tabular} & \begin{tabular}{c}
4 \\
Bedrooms
\end{tabular} & Total \\
\hline 1 Bathroom & 67 & 21 & 0 & 0 & 88 \\
\hline 2 Bathrooms & 0 & 6 & 24 & 0 & 30 \\
\hline 3 Bathrooms & 0 & 18 & 16 & 56 & 90 \\
\hline Total & 67 & 45 & 40 & 56 & 208 \\
\hline
\end{tabular}

What is the probability that a randomly selected house with 2 bathrooms has 3 bedrooms?

A. 0.2
B. 0.4
C. 0.6
D. 0.8



Answer :

To determine the probability that a randomly selected house with 2 bathrooms has 3 bedrooms, we will follow these steps:

1. Identify the number of houses with 2 bathrooms and 3 bedrooms:

From the table, we can see that there are 24 houses with 2 bathrooms and 3 bedrooms.

2. Identify the total number of houses with 2 bathrooms:

From the table, we can see that the total number of houses with 2 bathrooms is 30.

3. Calculate the probability:

The probability is given by the number of houses with 2 bathrooms and 3 bedrooms divided by the total number of houses with 2 bathrooms.

So, the probability is:
[tex]\[ \text{Probability} = \frac{\text{Number of houses with 2 bathrooms and 3 bedrooms}}{\text{Total number of houses with 2 bathrooms}} \][/tex]

Substituting in the values from the table we get:
[tex]\[ \text{Probability} = \frac{24}{30} = 0.8 \][/tex]

Therefore, the probability that a randomly selected house with 2 bathrooms has 3 bedrooms is [tex]\(0.8\)[/tex]. The answer is:

[tex]\[0.8\][/tex]