State the condtion under which P(A/B) = P(A).

State the condition under which V(X+ Y) = V(X) + V(Y) ?

State the condition under which a microwave oven heats up food item containing water molecules most efficiently.

What are the conditions under which a body can stay in a state of rest.

Write the condition under which three numbers a,b,c may be in A.P and G.P both.

P (A) = 1/4, P(B) = 2/5, P(AUB) = 1/2 , then find P(AnnB), P(A/B) and P(B/A) .

If A and B are two events such that P(A nn B) = 0.2, P(A uu B) = 0.8, P ( vec A ) = 0.4, find P (B).

A student has found that P(A) = 1/3 P(B) = 1/4 , find P(AuuB) , if A and B are mutually exclusive events.

A student obtianed that P(A) = 1/3 , P(B) = 1/4 and P(AcupB) = 23/24 Show that the results are not correct.

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

If A and B are two independent events, then P(A/B) = ?