Home
Class 11
MATHS
If A and B are two events such that P(Ac...

If A and B are two events such that `P(AcupB)=0.07`,`P(AcapB)=0.02`, and `P(B)=0.05`,then show that A and B are independent.

Text Solution

Verified by Experts

The correct Answer is:
`:.`A and B are independent.
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO PROBABILITY THEORY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 12.4|5 Videos

  • INTRODUCTION TO PROBABILITY THEORY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 12.5|25 Videos

  • INTRODUCTION TO PROBABILITY THEORY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 12.2|6 Videos

  • INTEGRAL CALCULUS

    PREMIERS PUBLISHERS|Exercise PROBLEM FOR PRACTICE (MCQ)|42 Videos

  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)|46 Videos

Similar Questions

Explore conceptually related problems

If A and B are two events such that P(A uu B) = 0.7, P(A nn B) = 0.2, and P(B) = 0.5 , then show that A and B are independent.

If A and B are two independent events such that P(AcupB)=0.06 , P(A)=0.02 ,find P(B).

If A and B are two events such that P(A cup B)=(5)/(6),P(A cap B)=(1)/(3), P(barB)=(1)/(2) show that A and B are independent.

If A and B are two independent events such that P(A uu B) = 0.6, P(A) = 0.2 , find P(B).

P(AcupB)=0.6,P(A)=0.2, find P(B) given that A and B are independent:

If A and B are two events such that P(A) = 0.5, P(B) = 0.6, P(AuuB) = 0.8 , find P(A|B).

If A and B are two independent events such that P(A)=0.4 and P(AuuB)=0.9 . Find P(B).

If A and B are two events such that P(A) = 0.4, P(B) = 0.8 and P(B//A) = 0.6 , then P(barA nn B) is