P (E ) +P ( E' )=…….

Fill in the blanks . (i) Probability of an impossible event= …….. (ii) Probability of a sure event = …… (iii) Let E be the event . Then , P(not E) = ……. (iv) P(E) + P(not E) = ……. . (v) ………. le P(E) le ……. .

Consider the following relations for two events E and F: 1. P (E cap F) ge P(E ) + P (F) - 1 2. P (E cup F) = P (E ) + P(F) + P (E cap F) 3. P (E cup F) le P (E ) + P (F) Which of the above relations is/are correct ?

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 .

A sample space consists of 9 elementary outcomes E1, E2, ..., E9 whose probabilities are P(E1) = P(E2) = 0.08, P(E3) = P(E4) = P(E5) = 0.1 P(E6) = P(E7) = 0.2, P(E8) = P(E9) = 0.07 SupposeA = {E1, E5, E8}, B = {E2, E5, E8, E9} (a) Calculate P (A), P (B), and P (A ∩ B) (b) Using the addition law of probability, calculate P (A ∪ B) (c) List the composition of the event A ∪ B, and calculate P (A ∪ B) by adding the probabilities of the elementary outcomes. (d) Calculate P (Bar B) from P

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.

Two events E and F are independent . If P ( E) =0.3 , P (E cup F) = 0.5 then P ( E | F ) - P (F |E) equals

Evaluate P(E U F), if P(E) = 3/4 , P(F) = 2/5 and P(E/F) = 5/4

E and F are two events in a random experiment such that P(E) = 0.6,P(F) = 0.3,P (E ∩ F) = 0.2. Find P (E/F) and P(F/E).

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) .