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11 September, 10:48

If there is a 50% chance that it will rain today and a 50% chance that it will rain tomorrow, what is the probability that it rains at least one of the days?

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  1. 11 September, 11:48
    0
    0.75

    Step-by-step explanation:

    Given that there is a 50% chance that it will rain today and a 50% chance that it will rain tomorrow

    We find that these two events are independent

    A = rains today and B = rains tomorrow

    A and B are independent

    So we have

    P (AB) = P (A) P (B)

    the probability that it rains at least one of the days

    = P (A or B) = P (A) + P (B) - P (AB)

    =0.5+0.5-0.5 (0.5)

    =0.75
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