Question

Select the correct answer.For a one-week period, three bus routes were observed. The results are shown in the table below.On-TimeDelayedTotalBus Route A28735Bus Route B37845Bus Route C24630Total8921110A bus is selected randomly. Which event has the highest probability?A. The bus is from route C and is delayed.B. The bus is from route B and is delayed.C. The bus is from route C and is on time.D. The bus is from route A and is on time.

Answer 1

Answer

D. The bus is from route A and is on time.

Explanation

If a bus is selected randomly. the event has the highest probability can be determined by calculating the probability of each option A through C. The highest among them will be the correct answer.

For option A:

The probability the bus is from route C and is delayed is

$P(Bus\text{ }Route\text{ }C\text{ }and\text{ }delayed)=\frac{6}{110}=\frac{3}{55}$

For option B:

The probability the bus is from route B and is delayed is

$P(Bus\text{ }Route\text{ }B\text{ }and\text{ }delayed)=\frac{8}{110}=\frac{4}{55}$

For option C:

The probability the bus is from route C and is on time is

$P(Bus\text{ }Route\text{ }C\text{ }and\text{ }on\text{ }time)=\frac{24}{110}=\frac{12}{55}$

For option D:

The probability the bus is from route A and is on time is

$P(Bus\text{ }Route\text{ }A\text{ }and\text{ }on\text{ }time)=\frac{28}{110}=\frac{14}{55}$

Therefore, the event that has the highest probability is:

D. The bus is from route A and is on time.