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In a college, 25% of the boys and 10% of...

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

A

`(1)/(6)`

B

`(3)/(8)`

C

`(5)/(8)`

D

`(5)/(6)`

Text Solution

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The correct Answer is:
B
Let the total number of students be 100 out of which 60% are girls and 40% are boys.
`therefore` Number of boys=40
and number of girls=60
Number of boys who offers
mathematics`=(25)/(100)xx40=10`
and number of girls who offer
mathematics=`(10)/(100)xx60=6`
`therefore` Required probability
`=(6)/(10+6)=(6)/(16)=(3)/(8)`
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