Answer

Verified

349.5k+ views

**Hint:**When we select a colored bottle then it is equally likely that any bottle can come. We know the formula for the probability of any desired outcome is equal to $\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$. Now, total outcomes are 7 because any color bottle can be picked up at random and the favorable outcome is the bottle of brown color so the number of favorable outcomes is 1. Substituting these values in the given formula will give the required probability.

**Complete step-by-step solution:**

In the above problem, we have given 7 bottles with different colors and we have selected one of the bottles at random. Selecting a bottle and getting any colored bottle is equally likely.

We know the formula for the probability which is equal to:

$\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

Now, the total outcomes could be 7 because when we select a bottle at random then the total number of bottles from which we have to select one bottle is 7.

And the number of favorable outcomes is 1 because we require a brown-colored bottle and amongst 7 bottles, one of the bottles is a brown colored bottle.

Substituting the value of favorable outcome as 1 and total outcomes as 7 in the above probability formula we get,

$\begin{align}

& \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}} \\

& =\dfrac{1}{7} \\

\end{align}$

**From the above solution, the probability of selecting the bottle with brown color is $\dfrac{1}{7}$.**

**Note:**To solve the above problem, you must know the formula to find the probability of any favorable outcome. The mistake that could be possible in the above problem is that you might write “brown” in place of favorable outcomes which is completely a wrong thing. So, do remember that probability is a number that lies from 0 to 1.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

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

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Guru Purnima speech in English in 100 words class 7 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

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

Difference Between Plant Cell and Animal Cell

Three liquids are given to you One is hydrochloric class 11 chemistry CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE