To find the probability that a randomly selected house with 2 bathrooms has 3 bedrooms, follow these steps:
1. Identify the total number of houses with 2 bathrooms:
- According to the two-way table, the total number of houses with 2 bathrooms is 90.
2. Identify the number of houses with 2 bathrooms and 3 bedrooms:
- According to the table, the number of houses with 2 bathrooms and 3 bedrooms is 40.
3. Calculate the probability:
- The probability is calculated by dividing the number of houses with 2 bathrooms and 3 bedrooms by the total number of houses with 2 bathrooms.
- This can be represented by the formula:
[tex]\[
P(\text{3 bedrooms }|\text{ 2 bathrooms}) = \frac{\text{Number of houses with 2 bathrooms and 3 bedrooms}}{\text{Total number of houses with 2 bathrooms}}
\][/tex]
4. Substitute the values:
[tex]\[
P(\text{3 bedrooms }|\text{ 2 bathrooms}) = \frac{40}{90}
\][/tex]
5. Simplify the fraction (if possible) and convert to a decimal:
- The fraction [tex]\(\frac{40}{90}\)[/tex] simplifies to approximately 0.4444.
6. Express the probability in terms of options given:
- This corresponds to approximately 0.4.
Therefore, the probability that a randomly selected house with 2 bathrooms has 3 bedrooms is approximately 0.4.
Among the options provided:
0.2
0.4
0.6
0.8
The correct answer is:
0.4
