Updates on previous post

Monty Hall problem: see this post on Illuminating Science for more details on this problem.

Tutorial questions: No hints needed - I've just rung my tutor and there are misprints in both the problems (cos x should be cot x in number 1 and tan x should be cos x in number 2 - grrrrrrrrrrrrr), so now they both reduce to quadratics which are easy to solve.