If `P(E_2)=1/9`, `P(E_2//E_1)=3/5`, `P(E_1//E_2)=3/4` then find `P(E_1)`.

If E_1 and E_2 are independent events and P(E_1)=rho_1 , P(E_2)=rho_2 then find P(E_1^c cap E_2^c) .

If E_1 and E_2 are independent events and P(E_1)=rho_1 , P(E_2)=rho_2 then find P(E_1cupE_2) .

If P(E)=11/36, P(F)=5/36 and P(EnnF)=2/36 , then the value of P(E/F) is :

If P ( E) = (1)/(20) , P ( F ) = (3)/(50) and P (E cup F) = (2)/(25) then find P (E |F).

Ea n dF are two independent events. The probability that both Ea n dF happen is 1/12 and the probability that neither Ea n dF happens is 1/2. Then, P(E)=1//3, P(F)=1//4 P(E)=1//4, P(F)=1//3 P(E)=1//6, P(F)=1//2 P(E)=1//2, P(F)=1//6

If E and F are two events such that P (E) = 1/4 , P (F)= 1/2 and P(E and F) = 1/8 , find : P (E or F).

If E_1 and E_2 mutually exclusive, then find P(E_1//E_2) .

If E_1 and E_2=phi are any two events associated with an experiment and lambdaP(E_1capE_2)=P(E_1//E_2) , then write down the value of lambda .

A bag contains 3 red and 4 black balls and another bag has 4 red and 2 black balls. One bag is selected, each of the two bags being equally likely to be selected. From the selected bag, a ball is drawn, each ball is the bag being equally likely to be drawn. Let E_1 be the event: 'the first bag is selected , E_2 , the event the second bag is selected and E_3 , the event: 'a red balls is drawn. find P(E_1),P(E_2),P(E_3//E_1) and (E_3//E_2) .