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

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

If A={a,b},B={b,c} Find P(A), P(B), P(A) uu P(B) , P(A) nn P(B) show that P(A) nn P(B) = P(A nn B)

If A={a,b},B={b,c} Find P(A), P(B), P(A) uu P(B) , P(A) nn P(B) show that P(A) uu P(B) sub P(A uu B)

For any two sets A and B, if P(A)=P(B), then show that A=B, here P(A) is the power set of A.

Given P(A+B)=5/6 , P(AB)=1/3 and P(B^c)=1/2 . Determine P(A) and P(B) and show that A and B are independents events.

If for two events A and B, P(A) = P (A/B) = 1/4 and P (B/A) = 1/2 , show that A and B are two mutually independent events.

If P(A)=a and P(B)=b, Show that P(A/B) lea/b .

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