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%

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