IIT-JEE Exam

Four fair dice D1, D2, D3 and D4, each having six faces numbered 1, 2, 3, 4, 5, and 6, are rolled simultaneously. The probability that D4 shows a number appearing on one of D1, D2 and D3 is
option
a) 127/216
b) 125/216
c) 108/216
d) 91/216

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IIT-JEE Other Question

The equation of a plane passing through the line of intersection of the planes x + 2y + 3z = 2 and x - y + z = 3 and at a distance 2/sqrt(3) from the point (3, 1, -1) is A tangent PT is drawn to the circle x2 + y2 = 4 at the point P(sqrt(3),1) . A straight line L, perpendicular to PT is a tangent to the circle (x -3)2 + y2 =1. The equation of l are