To determine the number of possible outcomes for the vacation houses, we can break down the choices Kayla's family can make:
1. Number of bedrooms: 2 options (two-bedroom or three-bedroom).
2. Number of stories: 2 options (one story or two stories).
3. Pet policy: 2 options (allows pets or does not allow pets).
To find all possible outcomes, we multiply the number of options for each category: 2 (bedrooms) 2 (stories) 2 (pet policy) = 8 possible outcomes.
Therefore, there are 8 possible outcomes when choosing a vacation house.
To calculate the probability of selecting a house with three bedrooms and two stories, we need to identify how many outcomes meet these criteria.
There is only 1 outcome that fits the criteria of having three bedrooms and two stories. So, the probability of choosing a house with three bedrooms and two stories out of the 8 possible outcomes is:
1 favorable outcome / 8 total outcomes = 1/8 = 0.125 or 12.5%.
Therefore, the probability that a randomly chosen house will have three bedrooms and two stories is 12.5%.
