Is it true that for any sets `A and B, P ( A ) ∪ P ( B ) = P ( A ∪ B )`? Justify your answer.

For any sets A and B, show that P ( A ∩ B ) = P ( A ) ∩ P ( B ) .

For any two events A and B , P (A cap B) is :

Is it right to say that sin (A+B) =sin A +sin B ? Justify your answer.

Assume that P ( A ) = P ( B ) . Show that A = B

If A and B are any two sets, prove that P(A) = P(B) implies A = B.

Given a non empty set X, consider P (X) which is the set of all subsets of X. Define the relation R in P(X) as follows : For subsets A, B in P(X), ARB if and only if A sub B. Is R an equivalence relation on P (X)? Justify your answer.

Choose the correct answer If A and B are events such that P(A|B) = P(B|A), then

A ={set of quadrilaterals}, B={square, rectangle, trapezium, rhombus}. State whether A subset B or B subset A . Justify your answer.

Choose the correct answer If P(A)=(1)/(2) , P(B) = 0, then P(A|B) is

It is given that events A and B are such that : P(A) = 1/4 ,P (A//B) =1/2 and P (B//A) =2/3 . Then P(B) is :