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The two-way table shows the number of houses on the market in the Castillos' price range.

| | 1 Bedroom | 2 Bedrooms | 3 Bedrooms | 4 Bedrooms | Total |
|-----------|-----------|------------|------------|------------|-------|
| 1 Bathroom| 67 | 21 | 0 | 0 | 88 |
| 2 Bathrooms| 0 | 6 | 24 | 0 | 30 |
| 3 Bathrooms| 0 | 18 | 16 | 56 | 90 |
| Total | 67 | 45 | 40 | 56 | 208 |

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 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].

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