For any event E ,which of the following is correct
`P(E)>=0`
`P(E)<=0`
`0<=P(E)<=1`
`P(E)<0`

For any event E, if P(E) = 1, the E is called a:

If E and F are events with P(E) 0 then which one is not correct?

Let AansB be any two events with positive probabilities Statement I P((E)/(A))>=P((A)/(E))P(E) Statement I P((E)/(A))>=P(A nn E)

If P(E) denotes the probability of an event E then (a) 0 lt P(E) le 1 (b) 0 lt P(E) lt 1 (c) 0 le P(E) le 1 (d) 0 le P(E) lt 1

Two events E and F are independent. If P(E )=0.3 and P(EcupF)=0.5 then P(E//F)-P(F//E) equals to

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.

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 ?

If E and F are two events associated with a random experiment for which P(E)=0.6, P(E uu F)=0.85 and P(E nn F) =0.42 , then P(F) is