book Maths Puzzle Numerical Ability

if f(x)+1-x2 and g(x)=1-x (F.g)(X)

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book Other Question

Hi, If I had a bag of marbles containing 5 green, 3 Blue and two red marbles. What is the probability of drawing the following marbles at random:

A red?
A red and then a green
prove that sin^2 x(1 + cot^2x) = 1. Prove this for ANY angle.