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30 January, 15:33

Carl is wondering if the train he is riding home from school will leave early, on time, or late. The probabilities are as follows: P (Train leaves early) = 25%. P (Train leaves on time) = 0.35. P (Train leaves late) = 2/5. Which is most likely to occur?

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  1. 30 January, 15:45
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    P (Train leaves late) will most likely occur.

    Step-by-step explanation:

    Given

    P (Train leaves early) = 25%.

    P (Train leaves on time) = 0.35.

    P (Train leaves late) = 2/5

    Required

    Which will most likely occur.

    First, we convert all probabilities to the same unit (decimal)

    P (Train leaves early) = 25/100 = 0.25

    P (Train leaves on time) = 0.35.

    P (Train leaves late) = 2/5 = 0.4

    Then we make comparisons among the three values.

    The highest value of the three will most likely occur.

    From the three probabilities, 0.4 has he highest value.

    Hence, P (Train leaves late) will most likely occur.
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