A and B are two events such that P(A) = ...

A and B are two events such that `P(A) = (1)/(4), P(A | B)= (1)/(2) , P(B | A)= (2)/(3)`, then P(B)= ………….

A

`(1)/(2)`

B

`(1)/(6)`

C

`(1)/(3)`

D

`(2)/(3)`

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

PROBABILITY
KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - A (Choose the correct option))|6 Videos
PROBABILITY
KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - B (Answer the following questions))|4 Videos
PROBABILITY
KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers) |5 Videos
MATRICES
KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos
RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

Similar Questions

Explore conceptually related problems

If A and B are two events such that P(A) = (1)/(3), P(B) = (1)/(4) and P(A cap B) = (1)/(5) , then P(A' | B') = ………..

If A and B are two events such that P(A) = (5)/(8), P(B) = (3)/(8) and P(A cup B) = (3)/(4) then P(A | B) = ………..

You are given that A and B are two events such that P(B)= (3)/(5), P(A//B)= (1)/(2) and P(A cup B)= (4)/(5) then P(A) equal …….

You are given that A and B are two events such that P(B)= (3)/(5), P(A//B)= (1)/(2) and P(A cup B)= (4)/(5) then P(B//A') is equal to ………

If A and B are two events such that P(A)= (1)/(2), P(B)= (1)/(3) and P(A//B)= (1)/(4) then P(A' cap B') equals ………..

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).

If A and B are two events such that P(AcupB)=(3)/(4), P(AcapB)=(1)/(4), P(overline(A))=(2)/(3), then P(overline(A)cupB) is equal to

If A and B are two events such that P(A) = (1)/(2), P(B)= (1)/(3) and P(Acap B)= (1)/(4) . Find : (i) P(A//B) (ii) P(B // A) (ii) P(A'//B) (iv) P(A'//B')

If A and B are two events such that P(A | B)= p, P(A) = p, P(B)= (1)/(3) and P(A cup B) = (5)/(9) then p = ……….

If A and B are two independent events such that P(A)= (1)/(2), P(B)= (1)/(5) , then P(A | (A cup B)) = ………

KUMAR PRAKASHAN-PROBABILITY-Multiple Choice Questions (MCQs)

If A and B are two events such that P(A) gt 0 and P(B) ne 1, then P(A...
Text Solution
|
A study has been done to determine whether or not a certain drug leads...
Text Solution
|
A and B are two events such that P(A) = (1)/(4), P(A | B)= (1)/(2) , P...
Text Solution
|
If two events A and B are such that P(A')= 0.3, P(B)=0.5 and P(A cap B...
Text Solution
|
The probabilities of new purchased television and refrigerator will be...
Text Solution
|
Two unbiased dice are thrown. The probability that sum of the numbers ...
Text Solution
|
If A and B are two events such that P(A) ne 0 and P(B) ne 0, then P(A'...
Text Solution
|
Two unbiased dice are thrown. The probability that the sum of the numb...
Text Solution
|
If A and B are two events such that P(A) = (1)/(3), P(B) = (1)/(4) and...
Text Solution
|
If A and B are two events such that P(A) = (5)/(8), P(B) = (3)/(8) and...
Text Solution
|
If 4P(A) = 6 P(B) = 10 P(A cap B) = 1 then P(B | A) = ……….
Text Solution
|
In a family having two children if one of the child is a girl, then th...
Text Solution
|
A and B are events such that P(A')= 0.3, P(B) = 0.4 and P(A cap B') =...
Text Solution
|
A coin is tossed three times is succession. If E is the event that the...
Text Solution
|
If P(A | B) gt P(A) then which of the following is true ?
Text Solution
|
Choose the correct answer: If A and B are any two events such that P...
Text Solution
|
If P(A)= 0.2, P(B) = 0.3 and P(A cup B) = 0.25 then P(B | A') = ………...
Text Solution
|
If P(A) = 0.1, P(B) = 0.2 and P(A cup B)= 0.25 then P(A' | B')= …………
Text Solution
|
If P(A) = 0.30, P(B) = 0.40 and P( A cup B)= 0.60 then P(B | A)= ………....
Text Solution
|
One card is selecting from the pack of 52 playing cards if A and B den...
Text Solution
|