Answer
Verified
473.4k+ views
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.
Complete step-by-step answer:
We know that the probability of raining today is 0.84. We have to calculate the probability of not raining today.
We know that the sum of probability of occurrence of an event and probability of non-occurrence of an event is 1.
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 \[P\left( A \right)=0.84\].
To find the probability of not getting a rain, we will subtract the probability of getting a rain from 1.
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 \[P\left( {{A}^{c}} \right)=1-0.84=0.16\].
Hence, the probability of not raining today is 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.
Complete step-by-step answer:
We know that the probability of raining today is 0.84. We have to calculate the probability of not raining today.
We know that the sum of probability of occurrence of an event and probability of non-occurrence of an event is 1.
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 \[P\left( A \right)=0.84\].
To find the probability of not getting a rain, we will subtract the probability of getting a rain from 1.
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 \[P\left( {{A}^{c}} \right)=1-0.84=0.16\].
Hence, the probability of not raining today is 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.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Which are the Top 10 Largest Countries of the World?
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Write a letter to the principal requesting him to grant class 10 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE