Not if this is considered a particularly difficult UK Maths GCSE exam question, which over 90 percent couldn't answer: Hannah has 6 orange sweets and some yell

Not if this is considered a particularly difficult UK Maths GCSE exam question, which over 90 percent couldn't answer: Hannah has 6 orange sweets and some yellow sweets. Overall, she has n sweets. The probability of her taking 2 orange sweets is 1/3. Prove that: n^2-n-90=0. If a HS student I would imagine you would First: think of coins p(H1) = .5; p(H2) =.5; p(H1+H2) = .5 * .5 = .25 Second: OK, here (6/n) * (5/(n-1)) = 1/3 Third solve: 30/(n * (n-1)) = 1/3 90 = n^2 - n 0 = n^2 - n - 90 n=10 or -9; if -9 then Hannah only has one sweet and lifted 9 from somebody else just to demo her point. (from London Telegraph today)