the two - way table shows the number of houses on the market in the castillos price range.\nwhat is the…

the two - way table shows the number of houses on the market in the castillos price range.\nwhat is the probability that a randomly selected house with 2 bathrooms has 3 bedrooms?\n0.2\n0.4\n0.6\n0.8

the two - way table shows the number of houses on the market in the castillos price range.\nwhat is the probability that a randomly selected house with 2 bathrooms has 3 bedrooms?\n0.2\n0.4\n0.6\n0.8

Answer

Explanation:

Step1: Identify relevant values

We want P(3 bedrooms | 2 bathrooms). The number of houses with 2 bathrooms and 3 bedrooms is 24, and the total number of houses with 2 bathrooms is 30.

Step2: Calculate probability

The formula for conditional - probability P(A|B)=$\frac{P(A\cap B)}{P(B)}$. In terms of counts, P(3 bedrooms | 2 bathrooms)=$\frac{\text{Number of 2 - bathroom and 3 - bedroom houses}}{\text{Number of 2 - bathroom houses}}=\frac{24}{30}$.

Step3: Simplify fraction

$\frac{24}{30}=\frac{4}{5}=0.8$

Answer:

0.8