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

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.

Text Solution

Verified by Experts

The correct Answer is:
`P(A nn B) = P(A).P(B)`
Thus, A and B are independent events.
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION OF PROBABILITY THEOREM

    SURA PUBLICATION|Exercise EXERCISE 12.4|5 Videos
  • INTRODUCTION OF PROBABILITY THEOREM

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEM SECTION - B|4 Videos
  • INTRODUCTION OF PROBABILITY THEOREM

    SURA PUBLICATION|Exercise EXERCISE 12.2|6 Videos
  • INTEGRAL CALCULUS

    SURA PUBLICATION|Exercise Section - D (5 marks)|3 Videos
  • MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION -D (5 MARK )|3 Videos

Similar Questions

Explore conceptually related problems

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

If A and B are two events such that P(A) = 4/5 and P(A nn B) = 7/10 then P(B/A) =

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

If A and B are two events such that P(A nn B) = 7/10 and P(B) 17/20 , then P(A/B) =

If A and B are any two events such that P(A) + P(B) -P(A and B) = P(A), then

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

Let A and B be two events such that P(bar(A uu B)) = 1/6, P(A nn B) = 1/4 and P(barA) = 1/4 Then the events A and B are