i\'m having trouble discerning what kind of problem this is. here isthe question

Question

i'm having trouble discerning what kind of problem this is. here isthe question...

In a carnival game, a rectangular board is set up with red circles1 inch in diameter painted on it in a grid. The centers of thecircles are 3 inches apart and the centers pf the outer rows ofcircles are 1.5 inches from the closest edge of the board. A playertosses a dime on the board. If the dime lies entirely within a redcircle, the player wins a prize worth $5, but if any part of thedime lies outside the circle the player loses. Suppose theprobability the dime falls off the board is .1 and the diameter ofa dime is 11/16 inches. What is the expected value of the game to aperson playing the game? Assume the player does not get his dimeback even if he wins a prize.

Explanation / Answer

So we would have $5 * probability of having dime landcompletely within circle + -$.10 * probability of dime landingoutside circle (any part of the dime).

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