To determine the probability that a randomly selected house with 2 bathrooms has 3 bedrooms, follow these steps:
1. Identify the relevant data from the table:
- The number of houses with 2 bathrooms and 3 bedrooms.
- The total number of houses with 2 bathrooms.
2. Extract the data:
- From the table, we see that there are 24 houses with 2 bathrooms and 3 bedrooms.
- The total number of houses with 2 bathrooms is 30.
3. Calculate the probability:
- Probability [tex]\( P \)[/tex] is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
- Here, the number of favorable outcomes is the number of houses with 2 bathrooms and 3 bedrooms, which is 24.
- The total number of possible outcomes is the total number of houses with 2 bathrooms, which is 30.
4. Compute the probability:
[tex]\[
P(\text{3 bedrooms} \mid \text{2 bathrooms}) = \frac{\text{Number of houses with 2 bathrooms and 3 bedrooms}}{\text{Total number of houses with 2 bathrooms}} = \frac{24}{30}
\][/tex]
5. Simplify the fraction:
[tex]\[
\frac{24}{30} = 0.8
\][/tex]
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].
