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# The probability that it will rain today is 0.84. What is the probability that it will not rain today?

Last updated date: 22nd Jul 2024
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Hint: Use the fact that the sum of probability of occurrence of an event and probability of non-occurrence of an event is 1. Subtract the probability of raining today from 1 to get the probability of not raining today.

Let us denote the event of getting a rain by A and not getting a rain by ${{A}^{c}}$. Thus, we have $P\left( A \right)+P\left( {{A}^{c}} \right)=1$.
We know that $P\left( A \right)=0.84$.
Thus, we have $P\left( {{A}^{c}} \right)=1-P\left( A \right)$.
Substituting the value $P\left( A \right)=0.84$ in the above equation, we have $P\left( {{A}^{c}} \right)=1-P\left( A \right)=1-0.84$.
So, we have $P\left( {{A}^{c}} \right)=1-0.84=0.16$.
Note: Probability of any event describes how likely an event is to occur or how likely it is that a proposition is true. The value of probability of any event always lies in the range $\left[ 0,1 \right]$ where having 0 probability indicates that the event is impossible to happen, while having probability equal to 1 indicates that the event will surely happen. We must remember that the sum of probability of occurrence of some event and probability of non-occurrence of the same event is always 1. We can’t solve this question without using the fact that the sum of probability of occurrence of an event and probability of non-occurrence of an event is 1.