Home
Class 12
MATHS
In a college, 70% students pass in Physi...

In a college, `70%` students pass in Physics, `75%` students pass in Mathematics and `10%` students fail in both. One student is chosen at random. What is the probability that
(i) he passes in Physics and Mathematics?
(ii) he passes in Mathematics, given that he passes in Physics?
(iii) he passes in Physics, given that he passes in Mathematics?

Text Solution

Verified by Experts

The correct Answer is:
(i)`(11)/(20)`(ii)`(11)/(14)`(iii)`(11)/(15)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT PRAKASHAN|Exercise Topic 2 (practice question ( 1mark question)|2 Videos
  • PROBABILITY

    ARIHANT PRAKASHAN|Exercise Topic 2 (practice question ( 4 mark question)|6 Videos
  • PROBABILITY

    ARIHANT PRAKASHAN|Exercise Topic 1 (Practice questions (6 mark question))|7 Videos
  • MATRICES

    ARIHANT PRAKASHAN|Exercise Chapter Test ( 6 Mark Questions)|4 Videos
  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise Chapter Test (6 MARKS Questions) |3 Videos

Similar Questions

Explore conceptually related problems

In a college, 70% students pass in Physics, 75% students pass in Mathematics and 10% students fail in both. One student is chosen at random. What is the probability that (1) he passes in Physics and Mathematics? he passes in Mathematics, given that he passes in Physics?

In a college, 70% students pass in Physics, 75% students pass in Mathematics and 10% students fail in both. One student is chosen at random. What is the probability that (1) he passes in Physics and Mathematics? he passes in Physics, given that he passes in Mathematics?

In a college, 30% students fail in Physics, 25% fail in Mathematics and 10% fail in both. One student is chosen at random. Find the probability that she fails in Physics, if she failed in Mathematics.

In a class 30% of the student fail in Mathematics, 20% of the student fail in English and 10% fail in both. A student is selected at random.

In a class 30% of the student fail in Mathematics, 20% of the student fail in English and 10% fail in both.What is the probability that he has failed in both ?

In a class 30% of the student fail in Mathematics, 20% of the student fail in English and 10% fail in both.If he has failed in English, what is the probability thet he has failed in Mathematics?