If the probability that it will rain tomorrow is 0.30, what is the probability that it will not rain tomorrow?

P = probability it rains tomorrow

q = probability it does not rain tomorrow

Since it either rains or it doesn't rain, this means p+q = 1

Think of 1 as 100% indicating total certainty

Solve for q to get

q = 1-p

by subtracting p from both sides

We're given p = 0.30 which is the probability of it raining, so,

q = 1-p

q = 1-0.30

q = 0.70

Answer: 0.70