If `P(A)=a and P(B)=b`, show that, `P(A//B) le (a)/(b)`.

If P(A)=a and P(B)=b, then show that P(A/B) le(a)/(b) .

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

If P(A) = a and P(B) = b, then show that P(A/B) le a/b .

(e)ANSWER ANY one question : 1. if P(A) =a and P(B)=b, then show that P(A/B) le a/b

If P(A)=a, P(B)=b , then show that P(A//B) gt (a+b-1)/(b) .

If P(A) = (3)/(4) and P(B) = (5)/(8), show that, ,(3)/(8)le P(A cap B ) le (5)/(8), Now if the value of P(A cap B) is taken to be (1)/(2) , calculate P(A^( c) cap B^( c)) .

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

For two events A and B [with P(B)ne 0 ], show that P(A//bar B)= P(A) . (1-P(B//A))/(1-P(B))

For any two events A and B, show that, P(A uu B) = P(A) + P(B) - P(A nn B) .

If A and B are two events such that P(A) = (1)/(2) and P(B) = (2)/(3) , then show that (a) P(Auu B) ge (2)/(3) (b) (1)/(6) le P(A nn B) le (1)/(2) (c ) P(A nn barB) le (1)/(3) (d) (1)/(6) le P(barAnn B) le (1)/(2)