The probability that it will rain tomorrow is 0.85.

Question:

The probability that it will rain tomorrow is 0.85. What is the probability that it will not rain tomorrow?

Solution:

Let $A$ be the event of raining tomorrow.

The probability that it will rain tomorrow, $\mathrm{P}(\mathrm{A})$, is $0.85$.

Since the event of raining tomorrow and not raining tomorrow are complementary to each other, the probability of not raining tomorrow is:

$\mathrm{P}(\overline{\mathrm{A}})=1-\mathrm{P}(\mathrm{A})=1-0.85=0.15$

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