1. If you have 100 chips, how can you split them into piles in order to maximize the product of the number of chips across all piles? 2. You are flipping four coins and you get $1 for the number of heads that show up. a) You are given the choice to reflip all 4 coins (once). What is your strategy? b) You can reflip all 4 coins as many times as you want, but you have to pay $1 to reflip each time. What is your strategy?