Let `P_(1),P_(2) and P_(3)` are the probabilities of a student passing three independent exams A, B and C respectively. If `P_(1), P_(2) and P_(3)` are the roots of equation `20x^(3)-27x^(2)+14x-2=0`, then the probability that the student passes in exactly one of A, B and C is

Let A and B be two independent events with P(A) = p and P(B) = q. If p and q are the roots of the equation ax^(2) + bx + c = 0 , then the probability of the occurrence of at least one of the two events is

Let A and B be two independent events with P(A) = p and P(B) = q. If p and q are the roots of the equation ax^(2) + bx + c = 0 , then the probability of the occurrence of at least one of the two events is

if P(A|B) = 1/3 , P(A) = 1/4 and P(B) = 1/2, find the probability that exactly one of the events A and B occurs.

P(A)=(1)/(2), P(B)=(1)/(3), P(C)=(1)/(5) the probabilities of three independent events A ,B and C . The chance that atleast one of them occurs will be: ........

Let each of the circles S_(1)-=x^(2)+y^(2)+4y-1=0 S_(1)-= x^(2)+y^(2)+6x+y+8=0 S_(3)-=x^(2)+y^(2)-4x-4y-37=0 touch the other two. Also, let P_(1),P_(2) and P_(3) be the points of contact of S_(1) and S_(2) , S_(2) and S_(3) , and S_(3) , respectively, C_(1),C_(2) and C_(3) are the centres of S_(1),S_(2) and S_(3) respectively. P_(2) and P_(3) are images of each other with respect to the line

Let A, B and C be three mutually exclusive events such that P(A) = p_(1), P(B) = p_(2) " and " P( C) = p_(3) . Then, Let p_(1), p_(2), " and " p_(3) are roots of 27x^(3)-27x^(2)+ax-1=0 , then value of a is

Suppose E_(1), E_(2), E_(3) be three mutually exclusive events such that P(E_(i))=p_(i)" for " i=1, 2, 3 If p_(1), p_(2), p_(3) are the roots of 27x^(3) -27x^(2)+ax-1=0 the value of a is -

Suppose E_1, E_2 and E_3 be three mutually exclusive events such that P(E_i)=p_i" for "i=1, 2, 3 . If p_1, p_2 and p_3 are the roots of 27x^3-27x^2+ax-1=0 the value of a is

Suppose E_1, E_2 and E_3 be three mutually exclusive events such that P(E_i)=p_i" for "i=1, 2, 3 . If p_1, p_2 and p_3 are the roots of 27x^3-27x^2+ax-1=0 the value of a is