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

Three dice are thrown. The sum of the numbers is $15$. What is the chance of getting $4$ on the first die?

$A$ jar contains $3$ red marbles,$7$ green marbles and $10$ white marbles. If a marble is drawn from the jar at random,what is the probability that this marble is white?

$A$ person can kill a bird with a probability of $3/4$. He tries $5$ times. What is the probability that he may not kill the bird at all (in $/1024$)?

Two cards are drawn one by one at random from a pack of $52$ cards. The probability that both of them are kings is:

The probability of an impossible event,i.e.,$P(\phi)$,is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module