`P(A)=3//8; P(B)=1//2; P(AuuB)=5//8` , which of the following do/does hold good? a.`P(A^c//B)=2P(A//B^c)` b. `P(B)=2P(A//B^c)` c. `15 P(A^c//B^c)=8P(B//A^c)` d. `P(A^//B^c)=(AnnB)`

Prove that, if P(A//B)=P(A) then P(A^c//B)=P(A^c) .

For two events A and B P(A^c//BC) + P(A//B^c) = ?

Prove that, if P(A//B)=P(A) then P(A^(c )//B)=P(A^(c )) .

If P(A)=2/3,P(B)=1/2 and P(AnnB)=1/6 then find the value of P(AnnB^C) .

If P(A)=(2)/(3),P(B)=(1)/(2) and P(A cap B)=(1)/(6) , find the value of P(A cup B), P(A//B), P(B//A), P(A cap B^(c )), P(A^(c ) cap B^(c )) and P(A^(c ) cup B^(c ))

If P(A) = 2/3, P(B) = 1/2 and P(A uu B) = 3/4 then find the value of P(A^C uu B^C) .

If P(A) = (1)/(3), P(B) = (1)/(2) , P(Acap B ) = (1)/(4) ,find the values of P(B^( c)), P(AcapB^( c)), P(A cup B) ,P(A^( c) cap B^( c)), P(Acup B^( c)).

If P(A) = 1/2, P(B) = 1/3 and P(A^C nn B^C) = 5/12 find P(A/B).

P (A cup B) = 0.6, P(A cap B) = 0.2 Determine, P(A^c) + P(B^C) .

A and B are two events, not mutually exclusive, connected with a random experiment E. If P(A)=(1)/(4), P(B)=(2)/(5) and P(A cup B) =(1)/(2) , find the values of the following probabilities : (i) P(A cap B) (ii) P (A cap B^(c )) (iii) P(A^(c ) cup B^(c ))