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?

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%