In a T.T match between Geeta and Ritu, the probability of the winning of Ritu is $0.73$. Find the probability of winning Geeta.
Answer
651k+ views
Hint: We know that the total probability is always $1$ so we can write it as the form of addition, $P$(Winning of Geeta ), and $P$ (Winning of Ritu) is equal to $1$.
When we subtract $P$ (Winning of Ritu) from $1$ to get the required answer.
Complete step by step answer:
It is given that the winning of Geeta is a complementary event to winning of Ritu
That is $P$ (winning of Ritu )$ = 0.73$
Here we need to find the probability of winning Geeta.
Thus, we know the concept of the total probability
Therefore, we can say that
$P$ (Winning of Ritu)$ + $P(Winning of Geeta)$ = 1$
Now we have to find the probability of winning Geeta.
So we can write it as,
$\Rightarrow P$ (winning of Geeta) =$1 - $P (Winning of Ritu)
By substituting the value of the probability of the winning of Ritu and we get,
$\Rightarrow P$ (winning of Geeta)$ = $$1 - 0.73$
On subtracting the probability of winning Ritu from $1$
$\Rightarrow $ Probability of Winning Geeta $ = 0.27$
Therefore, the probability of winning of Geeta is $0.27$.
Note:
We can also face problems in place of “not E” $\left( {{\text{not E}}} \right)$ is given.
For instance, you have to find the probability of $P\left( {{\text{not E}}} \right)$so the manner of the calculating the probability of $P\left( {{\text{not E}}} \right)$ is the same as the probability of $P\left( {{\text{not E}}} \right)$directly write the following expression:$P\left( {{\text{not E}}} \right) = 1 - P(E)$
Memorizing this concept will save you a lot of time in solving questions in the competitive exam or in the test.
When we subtract $P$ (Winning of Ritu) from $1$ to get the required answer.
Complete step by step answer:
It is given that the winning of Geeta is a complementary event to winning of Ritu
That is $P$ (winning of Ritu )$ = 0.73$
Here we need to find the probability of winning Geeta.
Thus, we know the concept of the total probability
Therefore, we can say that
$P$ (Winning of Ritu)$ + $P(Winning of Geeta)$ = 1$
Now we have to find the probability of winning Geeta.
So we can write it as,
$\Rightarrow P$ (winning of Geeta) =$1 - $P (Winning of Ritu)
By substituting the value of the probability of the winning of Ritu and we get,
$\Rightarrow P$ (winning of Geeta)$ = $$1 - 0.73$
On subtracting the probability of winning Ritu from $1$
$\Rightarrow $ Probability of Winning Geeta $ = 0.27$
Therefore, the probability of winning of Geeta is $0.27$.
Note:
We can also face problems in place of “not E” $\left( {{\text{not E}}} \right)$ is given.
For instance, you have to find the probability of $P\left( {{\text{not E}}} \right)$so the manner of the calculating the probability of $P\left( {{\text{not E}}} \right)$ is the same as the probability of $P\left( {{\text{not E}}} \right)$directly write the following expression:$P\left( {{\text{not E}}} \right) = 1 - P(E)$
Memorizing this concept will save you a lot of time in solving questions in the competitive exam or in the test.
Recently Updated Pages
A Paragraph on Pollution in about 100-150 Words

What is BLO What is the full form of BLO class 8 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

XIX+XXX A 49 B 51 C 55 D 44 class 5 maths CBSE

Trending doubts
Explain the Treaty of Vienna of 1815 class 10 social science CBSE

1 GB equals how many MB?

10 examples of evaporation in daily life with explanations

What is the full form of POSCO class 10 social science CBSE

Which is the hottest planet in the Solar system A Earth class 10 social science CBSE

Name any four life processes in living things class 10 biology CBSE

