Answer
424.5k+ views
Hint:In the above question, number of pages in the book is 90 pages which would be taken as Total cases. Number of perfect squares between 1 to 90 is the favorable case. So, the probability of a page number is equal to the number of perfect squares (favorable cases) divided by total cases.
Complete step-by-step answer:
Given,
Number of pages in the book that is total cases = 90 pages
Number of perfect squares from 1 to 90 are 1, 4, 9, 16, 25, 36, 49, 64, 81.
Favorable cases, that is number of perfect squares between 1 to 90 = 9
[Probability is defined as the ratio of number of favourable outcomes to the number of total possible outcomes]
Probability of a page number is a perfect square $ = \dfrac{9}{{90}} = \dfrac{1}{{10}}$
Therefore, probability is $\dfrac{1}{{10}}$.
So, the correct answer is “Option A”.
Note:Probability can also be called as possibility.It is expressed between 0 to 1, where 0 means the event is impossible and 1 means an event is certain. Probability is the measure of an event to occur. The probability of all the events in a sample space is equal to 1. For example – When a die is thrown, there are six possible outcomes – 1, 2, 3, 4, 5, 6. Then the probability of any one of them is $\dfrac{1}{6}$. In general, the probability of an event happening is the number of ways it can happen divided by the total number of outcomes.
Complete step-by-step answer:
Given,
Number of pages in the book that is total cases = 90 pages
Number of perfect squares from 1 to 90 are 1, 4, 9, 16, 25, 36, 49, 64, 81.
Favorable cases, that is number of perfect squares between 1 to 90 = 9
[Probability is defined as the ratio of number of favourable outcomes to the number of total possible outcomes]
Probability of a page number is a perfect square $ = \dfrac{9}{{90}} = \dfrac{1}{{10}}$
Therefore, probability is $\dfrac{1}{{10}}$.
So, the correct answer is “Option A”.
Note:Probability can also be called as possibility.It is expressed between 0 to 1, where 0 means the event is impossible and 1 means an event is certain. Probability is the measure of an event to occur. The probability of all the events in a sample space is equal to 1. For example – When a die is thrown, there are six possible outcomes – 1, 2, 3, 4, 5, 6. Then the probability of any one of them is $\dfrac{1}{6}$. In general, the probability of an event happening is the number of ways it can happen divided by the total number of outcomes.
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)