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]
