New Puzzle via @ghast_neoh: There are two players, and a machine that outputs a random number between 0.0 and 1.0 when you press a button (inclusive, chosen uniformly and independently, from the reals, etc). Player 1 pushes the button twice, and multiplies the two outputs together to get a score (e.g. 0.45 x 0.9=0.4). Then player 2 pushes the button once, and squares the result to get their score (e.g. 0.67 x 0.67 = 0.4489). The higher score wins. Which player wins more often?
Colin is a Weymouth maths tutor, author of several Maths For Dummies books and A-level maths guides. He started Flying Colours Maths in 2008.
He lives with an espresso pot and nothing to prove.