A sample space consists of 3 sample points with associated probabilities given as `2p ,p^2,4p-1.` Then the value of `p` is p= a.`sqrt(11)-3` b. `sqrt(10)-3` c. `1/4 < p <1/2` d.none

If A and B are two events defined on a sample space with the probabilities P(A)=0.5, P(B)=0.69 and P((A)/(B))=0.5 , thent the value of P((A)/(A^(c )uuB^(c ))) is equal to

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 line passes through point P(4,5) and makes 30^@ with X-axis. Then the coordinates of the point which is at distance of 4 unit on either side of P is : a. (4-2sqrt(3),7) , (4+2sqrt(3),7) b. (4+2sqrt(3),7) , (4-2sqrt(3),7) c. (4+2sqrt(3),7) , (4-2sqrt(3),3) d. (4-2sqrt(3),7) , (4-2sqrt(3),7)

If sum of an infinite G.P. : p ,1,1//p ,1//p^2 , ........ is 9//2 then value of p is a. 3 b. 3/2 c. 3 d. 9/2

If ((1-3p))/2,((1+4p))/3,((1+p))/6 are the probabilities of three mutually excusing and exhaustive events, then the set of all values of p is a. (0,1) b. (-1/4,1/3) c. (0,1/3) d.

If A and B are two events associated with a random experiment such that P(A)=0.3,P(B)=0.2" and "P(AcapB)=0.1, then the value of P(A∪B) is ….

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 .

If A be any event in sample space then the maximum value of 3sqrt(P(A))+4sqrt(P(barA)) is :

Suppose a ,b, and c are in A.P. and a^2, b^2 and c^2 are in G.P. If a

If A(1,p^2),B(0,1) and C(p ,0) are the coordinates of three points, then the value of p for which the area of triangle A B C is the minimum is (a) 1/(sqrt(3)) (b) -1/(sqrt(3)) (c) 1/(sqrt(2)) (d) none of these