Answer

Verified

435.9k+ 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.

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

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

At which age domestication of animals started A Neolithic class 11 social science CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Summary of the poem Where the Mind is Without Fear class 8 english CBSE

One cusec is equal to how many liters class 8 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Change the following sentences into negative and interrogative class 10 english CBSE