Karan Shah

You have an unknown function that is monotone increasing for 1 < x < 5 and have the following information about the function values. With the clear understanding that there is no way to get an exact integral, how would you try and approximate the area und...

Your friend tosses three coins and you roll a single die. If the number on the die you roll is less than or equal to the number of heads that your friend tosses, you win $X. If not, you lose $1. How large should X be in order for this to be a fair game?