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27 March, 21:50

Suppose the newspaper states that the probability of rain today is 65%.

What is the complement of the event "rain today"?

rain yesterday

rain tomorrow

no rain today

no rain tomorrow

What is the probability of the complement?

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Answers (2)
  1. 27 March, 22:25
    0
    35% No Rain Today

    Step-by-step explanation:

    0.65 plus p (complement) = one

    P (Complement) = 1 minus 0.65 = 0.35 = 35%

    I know this as well because I took the test with the same question
  2. 27 March, 23:04
    0
    no rain today = 35%

    Step-by-step explanation:

    In probability, the Complement Rule states that the sum of the probability of an event and its complement must = 1

    i. e

    P (Event) + P (Complement) = 1

    In this sense, we can think of the complement of an event as the "not-event". I. e the event does not happen.

    In our case, the event = "rain today",

    hence the complement will be = "not rain today" (i. e no rain today)

    using the formula above, we are given that P (rain today) = 65% = 0.65

    hence

    0.65 + P (Complement) = 1

    P (Complement) = 1 - 0.65 = 0.35 = 35%
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