An apartment building has the following apartments:

2 bdrm 3 bdrm 4 bdrm
1st floor 7 3 4
2nd floor 9 0 11
3rd floor 8 4 7
If an apartment is selected at random, what is the probability that it is a 2 bedroom apartment on the 3rd floor?

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To find the probability of selecting a 2-bedroom apartment on the 3rd floor, we need to determine the total number of apartments and the number of 2-bedroom apartments on the 3rd floor.

First, let's find the total number of apartments:
On the 1st floor, there are 7 apartments.
On the 2nd floor, there are 9 apartments.
On the 3rd floor, there are 8 apartments.
So the total number of apartments is 7 + 9 + 8 = 24.

Now, let's find the number of 2-bedroom apartments on the 3rd floor:
On the 3rd floor, there are 8 apartments, and out of these, 4 are 2-bedroom apartments.

Therefore, the probability of selecting a 2-bedroom apartment on the 3rd floor is given by:
Number of 2-bedroom apartments on the 3rd floor / Total number of apartments
= 4 / 24
= 1/6

So, the probability is 1/6.

To summarize, the probability of selecting a 2-bedroom apartment on the 3rd floor is 1/6.