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%

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!