Home
Class 12
MATHS
In a class, 30% students study English, ...

In a class, 30% students study English, 15% study Hindi and 10% study both English and Hindi. One student is selected at random. Find the probability that
(i) He studies English if it known that he Hindi
(ii) He studies Hindi if it is known that he studies English

Text Solution

Verified by Experts

Let E = event of studying English, and
H = event of studying Hindi
`P(E)=30/100=3/10`
`P(H)=15/100=3/20`
`and, " " (P(EcapH))/(P(H))=10/100=1/10`
(i) The required probability = P(E|H)
`=(P(EcapH))/(P(H))=(1/10)/(3/20)=2/3`
(ii) The required probability
`=P(H|E)=(P(HcapE))/(P(E))=(1/10)/(3/10)=1/3`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH INSTITUTE|Exercise TRY YOURSELF|36 Videos

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - A Competition Level Questions)|114 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-D:(Assertion-Reason Type Questions)|12 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

Similar Questions

Explore conceptually related problems

In a class 45% students read English, 30% read French and 20% read both English and French. One student is selected at random. Find the probability that he reads English, if it is known that he reads French.

In a class, 40% students study mathematics, 25% study biology and 15 % study both mathematics and biology. One student is selected at random. Find the probability that (i) he studies mathematics if it is known that he studies biology (ii) he studies biology if it is known that he studies mathematics.

In a class 45% students read English, 30% read French and 20% read both English and French. One student is selected at random find the probability that he reads French, if it is known that he reads English.

In a class, 30% students fail in English, 20% students fail in Hindi and 10% students fail in both English and Hindi. A student is chosen at random, then what is the probability he fail in English, if he has failed in Hindi?

In a class 40% students read Mathematics,25% Biology and 15% both Mathematics and Biology.One student is selected at random. The probability that he reads Mathematics if it is known that he reads Biology is

In a class of 50 students, 30 study Basic, 25 study Pascal and 10 study both How many study neither?

In a class 30% students like tea, 20% like coffee and 10% like both tea and coffee. A student is selected at random then what is the probability that he does not like tea if it is known that he likes coffee?

In a hostel 60 % of students read Hindi newspapers , 40 % read English and 20 % both . A student is selected at random . Find the probability that she reads neither Hindi nor English newspaper .