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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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