Answered

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
& 1 Bedroom & 2 Bedrooms & 3 Bedrooms & Total \\
\hline
1 Bathroom & 67 & 21 & 0 & 88 \\
\hline
2 Bathrooms & 0 & 6 & 24 & 30 \\
\hline
3 Bathrooms & 0 & 18 & 16 & 90 \\
\hline
Total & 67 & 45 & 40 & 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 :

GinnyAnswer
To find the probability that a randomly selected house with 2 bathrooms has 3 bedrooms, we need to assess the given data and calculate accordingly.

Step-by-step solution:

1. Identify the Total Number of Houses with 2 Bathrooms:
- According to the table, the total number of houses with 2 bathrooms is found in the second row under the "Total" column.
- Total number of houses with 2 bathrooms = 30.

2. Identify the Number of Houses with 2 Bathrooms and 3 Bedrooms:
- In the same table, locate the entry where 2 bathrooms and 3 bedrooms intersect.
- Number of houses with 2 bathrooms and 3 bedrooms = 24.

3. Calculate the Probability:
- Probability is defined as the number of favorable outcomes divided by the total number of possible outcomes.
- Here, the favorable outcomes are houses with 2 bathrooms and 3 bedrooms, and the possible outcomes are all the houses with 2 bathrooms.
- Probability = (Number of houses with 2 bathrooms and 3 bedrooms) / (Total number of houses with 2 bathrooms).

4. Perform the Calculation:
- Probability = 24 / 30.
- Simplifying this fraction, we get 24 ÷ 30 = 0.8.

So, the probability that a randomly selected house with 2 bathrooms has 3 bedrooms is:
[tex]\[ 0.8 \][/tex]

Thus, the correct answer is:
[tex]\[ 0.8 \][/tex]

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