Carcass wrote:
An apartment building has apartments numbered 2 through 85, consecutively.
Quantity A |
Quantity B |
The probability that the apartment number of a randomly selected tenant contains a 4 |
\(\frac{3}{14}\) |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Consider these two cases.....
Case i: Each apartment has one occupant, EXCEPT for apartment #4, which has 1 BILLION occupants.
In other words, 1,000,000,083 people live in the apartment, 1,000,000,000 of whom live in apartment #4.
So if we randomly select someone from the apartment, it's very very very very very likely that that person lives in apartment #4.
So, in this case
P(apartment number of a randomly selected tenant contains a 4) = a number very close to 1.
In this case, QUANTITY A IS GREATER
Case ii: Each apartment has one occupant, EXCEPT for apartment #5, which has 1 BILLION occupants.
In other words, 1,000,000,083 people live in the apartment, 1,000,000,000 of whom live in apartment #5.
So if we randomly select someone from the apartment, it's very very very very very likely that that person lives in apartment #5.
So, in this case
P(apartment number of a randomly selected tenant contains a 4) = a number very close to 0.
In this case, QUANTITY B IS GREATER
Answer: D