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?
7/(grand total) = ?
To find the probability of selecting a 2 bedroom apartment on the 3rd floor, we need to determine the number of 2 bedroom apartments on the 3rd floor and divide it by the total number of apartments in the building.
According to the information given, there are 8 apartments on the 3rd floor with 2 bedrooms. Now, we need to find the total number of apartments in the building.
Adding up the number of apartments in each category, we have:
- 7 + 3 + 4 = 14 apartments on the 1st floor
- 9 + 0 + 11 = 20 apartments on the 2nd floor
- 8 + 4 + 7 = 19 apartments on the 3rd floor
Adding all of these together, we have a total of 14 + 20 + 19 = 53 apartments in the building.
Now, we can calculate the probability. The probability of selecting a 2 bedroom apartment on the 3rd floor is the number of 2 bedroom apartments on the 3rd floor divided by the total number of apartments in the building:
P(2 bedroom on 3rd floor) = 8 / 53
Therefore, the probability of selecting a 2 bedroom apartment on the 3rd floor is approximately 0.150 (rounded to three decimal places).