Question

In a school A, there are two sections of class 8 having 32 and 28 students. Another school B has three sections of class 8 with number of students 20, 25 and 35. find the probability that the topper of class 8 is from school B. which school has a better chance to have a topper?​

Answer 1

The probability of the topper of class 8 being from school B is equal to $\frac{4}{7}$.

• The total number of students in Class 8 = 140
• Number of students in school B = 20 + 25 + 35 = 80

• Probability of topper being from school B= $\frac{Number of students in school B}{Total Number of students}$= $\frac{4}{7}$

• The probability of the topper being from school A = 1 - Probability of school B = 1 - $\frac{4}{7}$ = $\frac{3}{7}$
• Therefore, School B has a better chance to have a topper than school A.

Answer 2

Step-by-step explanation:

The probability of the topper of class 8 being from school B is equal to \frac{4}{7}

7

4

.

The total number of students in Class 8 = 140

Number of students in school B = 20 + 25 + 35 = 80

Probability of topper being from school B= \frac{Number of students in school B}{Total Number of students}

TotalNumberofstudents

NumberofstudentsinschoolB

= \frac{4}{7}

7

4

The probability of the topper being from school A = 1 - Probability of school B = 1 - \frac{4}{7}

7

4

= \frac{3}{7}

7

3

Therefore, School B has a better chance to have a topper than school A.