1. The problem statement, all variables and given/known data In a carnival game, a rectangular board is set up with red circles 1 inch in diameter painted on it in a grid. The centers of the circles are 3 inches apart and the centers of the outer rows of circles are 1.5 inches from the closest edge of the board. A player tosses a dime on the board. If the dime lies entirely within a red circle, the player wins a prize worth $5, but if any part of the dime lies outside the circle the player loses. Suppose the probability the dime falls off the board is .1 and the diameter of a dime is 11/16 inches. What is the expected value of the game to a person playing the game? Assume the player does not get his dime back even if he wins a prize. 3. The attempt at a solution I'm really struggling with this problem. I think I need to do $5*P(dime completely lands in a red circle)-.1*P(dime misses a circle or falls off the board), but have no idea where to go from there.