In a college,25% of the boys and 10% of the g | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the total number of students in the college be $100$.Since girls constitute $60\%$ of the total students,the number of girls $= 60$ and the nu

Vedclass · Accepted Answer

$\frac{3}{8}$

Vedclass · Answer

(B) Let the total number of students in the college be $100$.Since girls constitute $60\%$ of the total students,the number of girls $= 60$ and the number of boys $= 100 - 60 = 40$.Number of boys studying Mathematics $= 25\% 	ext{ of } 40 = \frac{25}{100} 	imes 40 = 10$.Number of girls studying Mathematics $= 10\% 	ext{ of } 60 = \frac{10}{100} 	imes 60 = 6$.Total number of students studying Mathematics $= 10 + 6 = 16$.We need to find the probability that the student is a girl,given that the student studies Mathematics.Using the conditional probability formula,$P(	ext{Girl} | 	ext{Maths}) = \frac{	ext{Number of girls studying Maths}}{	ext{Total number of students studying Maths}}$.$P(	ext{Girl} | 	ext{Maths}) = \frac{6}{16} = \frac{3}{8}$.

In a college,$25\%$ of the boys and $10\%$ of the girls offer Mathematics. The girls constitute $60\%$ of the total number of students. If a student is selected at random and is found to be studying Mathematics,the probability that the student is a girl,is

Similar Questions

There are four machines,and it is known that exactly two of them are faulty. They are tested one by one in a random order until both faulty machines are identified. The probability that only two tests are needed is

If $A$ and $B$ are two events such that $P(A) \neq 0$ and $P(B) \neq 1$,then $P\left( \frac{\overline{A}}{\overline{B}} \right) = $

You are given the digits $2, 3, 4, 6,$ and $7$. In how many ways can you form a $3$-digit number without repetition of digits that is odd and greater than $300$?

In a box,there are $2$ red,$3$ black,and $4$ white balls. If $3$ balls are drawn together,what is the probability that they are of the same color?

In a single throw of $3$ dice,find the probability of getting a total of at least $5$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module