An apartment building has the following distribution of apartments:

1 bedroom 2 bedroom 3 bedroom

1st floor 3 1 1

2nd floor 2 2 2

3rd floor 1 4 1

If an apartment is selected at random, what is the probability that it is on the 2nd floor or has 2 bedrooms?

A) 7/11

B) 6/11

C) 13/17

D) 11/17

The correct answer is C) 13/17.

Explanation:

From the two-way table, we find the total number of 2nd floor apartments is 2+2+2=6.

The total number of 2-bedroom apartments is 1+2+4=7.

The total number of apartments altogether is 3+1+1+2+2+2+1+4+1=17.

There are 13 apartments that are either on the 2nd floor or 2-bedroom out of 17 total, so the probability is 13/17.

To calculate the probability of selecting the probability of any apartment is 1/3. But we won't take it into account.

Also, to be on the second floor the probability comes out to be 6/17

Furthermore, selecting a 2 bedroom apartments probability comes out to be 7 / 17.

So finally you can add all of them as they are independent events. 6/17 + 7/17 / = 13/17.

Hence the answer is C. 13/17