Question

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

A 6-column table has 4 rows. The first column has entries 1 bathroom, 2 bathrooms, 3 bathrooms, total. The second column is labeled 1 bedroom with entries 67, 0, 0, 67. The third column is labeled 2 bedrooms with entries 21, 6, 18, 45. The fourth column is labeled 3 bedrooms with entries 0, 24, 16, 40. The fifth column is labeled 4 bedrooms with entries 0, 0, 56, 56. The sixth column is labeled Total with entries 88, 30, 90, 208.

What is the probability that a randomly selected house with 2 bathrooms has 3 bedrooms?

0.2
0.4
0.6
0.8

Answer 1

We want P(3 bedrooms | 2 bathrooms) = (houses with 2 bathrooms and 3 bedrooms) / (total houses with 2 bathrooms) = 24 / 30 = 0.8.