यदि `E _1 ` तथा ` E _2 ` दो स्वतंत्र घटनाएँ है जहाँ` P (E _1 ) = 0 .3 ` तथा `P (E _2 )= 0 .6 ` तब ज्ञात कीजिए -` P((E _2 )/(E _1))`

IF P (E ) =0.6 ,P( F) =0.3 and P (E nn F )=0.2 , find P(F|E) .

If P(E)=0.6, P(F)=0.3 P(E cap F)=0.2 then find P(F//E) .

If P(E)=0.6,P(F)=0.3 and P(E nn F)=0.2 , then find P(E//F) .

If E_(1) and E_(2) are two events such that P(E_(1)) = 0.5, P(E_(2)) = 0.3 and P(E_(1) and E_(2)) = 0.1 , find (i) P(E_(1) " or " E_(2)) (ii) P(E_(1) " but not " E_(2)) (iii) P(E_(2) " but not " E_(1)) (iv) P(" neither " E_(1) " nor " E_(2))

Let E1 and E2 are two independent events such that P(E1) = 0.3 and P(E2)= 0.6. Find the value of: (i) P(E1nn E2) (ii) P(E1 uu E2) (iii) P(E1//E2)(iv) P(E2//E1)

A sample space consists of 9 elementary event E_1, E_2, E_3 ..... E_8, E_9 whose probabilities are P(E_1) = P(E_2) = 0. 08 , P(E_3) = P(E_4)=P(E_5) = 0. 1 , P(E_6) = P(E_7) = 0. 2 , P(E_8) = P(E_9) = 0. 07 . Suppose A = {E_1,E_5,E_8} , B = {E_2, E_5, E_8, E_9} . Compute P(A) , P(B) and P(AnnB) . Using the addition law of probability, find P(AuuB) . List the composition of the event AuuB , and calculate, P(AuuB) by adding the probabilities of the elementary events. Calculate P(barB) from P(B) , also calculate P(barB) directly from the elementary events of barB .

= E_ (1), E_ (2), E_ (3), E_ (1), E_ (5) and P (E_ (1)) = (95) / (100), P (E_ (2) | E_ (1)) = (93) / (99), P (E_ (3) | E_ (1) E_ (2) E_ (3)) = (92) / (97) and P (E_ (5) | E_ (1) E_ (2) E_ (3) E_ (4)) = (91) / (96) n P (E) equals

A sample space consists of 9 elementary event E_1, E_2, E_3 ..... E_8, E_9 whose probabilities are P(E_1) = P(E_2) = 0. 08 ,P(E_3) = P(E_4) = 0. 1, P(E_6) = P(E_7) = 0. 2 ,P(E_8) = P(E_9) = 0. 07. Suppose A = {E_1,E_5,E_8}, B = {E_2, E_5, E_8, E_9}. Compute P(A), P(B) and P(AnnB). Using the addition law of probability, find P(AuuB). List the composition of the event AuuB, and calculate, P(AuuB) by adding the probabilities of the elementary events. Calculate P(barB) from P(B), also calculate P(barB) directly from the elementary events of barB.

Given that E and F are events such that P (E) = 0. 6 , P (F) = 0. 6 , P(F) = 0. 3 and P(EnnF)= 0. 2 , find P (E|F) and P (F|E) .