If the probability of rain is 15%, what is the probability that it won't rain?

Discussion in 'Calculator Requests' started by math_celebrity, May 8, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If the probability of rain is 15%, what is the probability that it won't rain?

    If we assign the probability of raining as event A, then A' (A complement) is the probability it won't rain. Since it either rains or doesn't rain are the only two events.

    There exists an axiom in statistics that states:
    P(A) + P(A') = 1

    Rearranging this, we get:
    P(A') = 1 - P(A)

    If we assign the probability of raining as event A which is 0.15, we get:
    P(A') = 1 - 0.15
    P(A') = 0.85
     

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