Home
Class 11
MATHS
Can two events be mutually exclusive and...

Can two events be mutually exclusive and independent simultaneously ?

Text Solution

Verified by Experts

The correct Answer is:
`implies`An ivent cannot be both mutually exclusive and indepndent
Doubtnut Promotions Banner Mobile Dark
|

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

Let A and B be two events such that p( bar (AuuB))=1/6, p(AnnB)=1/4 and p( bar A)=1/4 , where bar A stands for the complement of the event A. Then the events A and B are (1) mutually exclusive and independent (2) equally likely but not independent (3) independent but not equally likely (4) independent and equally likely

Given P(A)=0.4 and P(A uu B)=0.7 . Find P(B) if (i) A and B are mutually exclusive (ii) A and B are independent events (iii) P(A//B)=0.4 (iv) P(B//A)=0.5

Knowledge Check

  • Two events A and B are independent then

    A
    A and B are mutually exclusive
    B
    P(A) + P(B) = 1
    C
    `P(AnnB') = P(A).P(B')`
    D
    P(A) = P(B)

    • Similar Questions

    Explore conceptually related problems

    Given P(A)=0.4 and P(AuuB)=0.7 . Find P(B) if (i) A and B are mutually exclusive (ii) A and B are independent events (iii) P(A//B)=0.4, (iv) P(B//A)=0.5

    Given P(A)=0.4 and P(AcupB)=0.7 . Find P(B)if (i)A and B are mutually exclusive, (ii)A and B are independent events, (iii) P(A//B)=0.4 , (iv) P(A//B)=0.5 . P(A)=0.4,P(AcupB)=0.7,P(B)= ?

    If A and B are mutually exclusive events, then

    Let A,B,C be any three mutually exclusive and exhaustive events such that P(B)=(3)/(2)P(A) and P(C)=(1)/(2)P(B) . Find P(A) .

    Assume that the birth of a boy or girl to a couple to be equally likely, mutually exclusive, exhaustive and independent of the other children in the family. For a couple having 6 children, the probability that their "three oldest are boys" is

    Three coins tossed. Describe. (i) Two events which are mutually exclusive. (ii) Three events which are mutully exclusive and exhaustive. (iii) Two events, which are not mutually exclusive. (iv) Two events which are mutually exclusive but not exhaustive. (v) Three event which are mutually exclusive but not exhaustive.

    If the events A and B are mutually exclusive events such that P(A) = (3x + 1)/(3) and P(B) = (1 - x)/(4) , then the set of possible real values of x lies in the interval

    Home
    Profile