Answer
414.9k+ views
Hint:
Probability of the selecting yellow marble is the ratio of the number of yellow marbles and total number of marbles. Probability of the selecting yellow marble can also be calculated by
the difference of total probability and the sum of probability of selecting a white marble and the probability of selecting a green marble.
Complete step by step solution:
Assume that total number of marbles in the jar be x
Given that number of yellow marbles in a jar \[ = 10\]
Given that the probability of selecting a green marble \[ = \dfrac{1}{4}\]
Also, the probability of selecting a white marble\[ = \dfrac{1}{3}\]
We know that the total probability
Hence, Probability of selecting a yellow marble =1–(Probability of
selecting a white marble + Probability of selecting a green marble)
So the probability of selecting a yellow marble
\[ = 1 - \left( {\dfrac{1}{4} + \dfrac{1}{3}} \right) = 1 - \dfrac{7}{{12}} =
\dfrac{5}{{12}}\]----(1)
But the probability of selecting a yellow marble
$= \dfrac{{Number{\text{ of yellow Marbles}}}}{{Total{\text{ no}}{\text{.
of marbles}}}} = \dfrac{{10}}{x} \\
\therefore \dfrac{5}{{12}} = \dfrac{{10}}{x} \text{from (1)} \\
\Rightarrow x = 10 \times \dfrac{12}{5} \\
\Rightarrow x= 2 \times 12 \\
\therefore x = 24$
Hence the total number of marbles =24
Note:
The sum of total probability is 1.
Probability of given event is the ratio of number of given events by total number of events. We can also interpret the probability in terms of percentage. Suppose the probability of something is $0.75$ then we say $75 \%$ of odds are in favor of the occurrence of that event.
Probability of the selecting yellow marble is the ratio of the number of yellow marbles and total number of marbles. Probability of the selecting yellow marble can also be calculated by
the difference of total probability and the sum of probability of selecting a white marble and the probability of selecting a green marble.
Complete step by step solution:
Assume that total number of marbles in the jar be x
Given that number of yellow marbles in a jar \[ = 10\]
Given that the probability of selecting a green marble \[ = \dfrac{1}{4}\]
Also, the probability of selecting a white marble\[ = \dfrac{1}{3}\]
We know that the total probability
Hence, Probability of selecting a yellow marble =1–(Probability of
selecting a white marble + Probability of selecting a green marble)
So the probability of selecting a yellow marble
\[ = 1 - \left( {\dfrac{1}{4} + \dfrac{1}{3}} \right) = 1 - \dfrac{7}{{12}} =
\dfrac{5}{{12}}\]----(1)
But the probability of selecting a yellow marble
$= \dfrac{{Number{\text{ of yellow Marbles}}}}{{Total{\text{ no}}{\text{.
of marbles}}}} = \dfrac{{10}}{x} \\
\therefore \dfrac{5}{{12}} = \dfrac{{10}}{x} \text{from (1)} \\
\Rightarrow x = 10 \times \dfrac{12}{5} \\
\Rightarrow x= 2 \times 12 \\
\therefore x = 24$
Hence the total number of marbles =24
Note:
The sum of total probability is 1.
Probability of given event is the ratio of number of given events by total number of events. We can also interpret the probability in terms of percentage. Suppose the probability of something is $0.75$ then we say $75 \%$ of odds are in favor of the occurrence of that event.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)