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The following bus schedule is seen at a bus stop located somewhere between town A and town B. Town A: 00:10, then every 20 minutes Town B: 00:15, th
Question

The following bus schedule is seen at a bus stop located somewhere between town A and town B.
Town A: 00:10, then every 20 minutes

Town B: 00:15, then every 20 minutes
If a person arrives at this bus stop at a random time, the probability that the next bus is for town B is:

A.

1/2

B.

1/4

C.

1/3

D.

3/4

Correct option is B

Solution:

Buses for Town A arrive at: 00:10, 00:30, 00:50, …
Buses for Town B arrive at: 00:15, 00:35, 00:55, …

The combined pattern repeats every 20 minutes.
Consider one 20-minute cycle from 00:10 to 00:30:
· From 00:10 to 00:15 → next bus is Town B (5 minutes)
· From 00:15 to 00:30 → next bus is Town A (15 minutes)
Total interval = 20 minutes
Probability that the next bus is for Town B = 5 / 20 = 1/4
Correct answer: (b) 1/4

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