Home
Class 12
MATHS
Let A and B be two events such that P(A ...

Let A and B be two events such that `P(A cap B) = 1/6, P(A cup B) = 31/45 "and" P bar((B))= 7/10`-

A

A and B are independent

B

A and B are mutually exclusive

C

`P(A/B) lt 1/6`

D

`P(B/A) lt 1/6`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • ARCHIVE

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive|6 Videos
  • ARCHIVE

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|13 Videos
  • ARCHIVE

    CHHAYA PUBLICATION|Exercise WBHS Archive|15 Videos
  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE ADVANCED ARCHIVE 2016|5 Videos
  • BINARY OPERATION

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Let A and B be two events such that Pbar((A cup B)) = 1/6, P(A cap B) "and" P(bar (A)) = 1/4, "where" barA stands for the complement of the event A. Then the events A and B are-

If A and B are two events such that P(A cup B) = (3)/(4), P(AcapB) =(1)/(2) and P(A) = (2)/(3) , then the value of 12 times of P(B) is -

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

If A, B are two events such that P(A cup B) ge 3/4 "and" 1/8 le P(A cap B) le 3/8

If A and B are two events such that P(A) = P(B) = 1, then show that, P(A + B) = 1.

A and B are two events such that P(A cup B)=(3)/(4), P(A cap B)=(1)/(4), P(barA)=(2)/(3) , then the value of P(barA cap B) is -

Let A and B be two events such that P(A) = 0.3 and P(A cup B) = 0.8 . If A and B are independent events then P(B) = ?

If A and B are two events such that P(A) = P(B) = 1, then show that , P(A+B) = 1, P(AB) = 1

Let A and B be two events such that P(A) =1/3,P(B)=1/4 and P(AnnB)=1/4 . Find P(A//B),P(B//A),P(AuuB) .

If A and B are two events such that P(A) =(1)/(4), P(B) = (1)/(2) and P(A cap B) = (1)/(8) , find P (not A and not B).