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Expected Value Spinner - Purple or Blue?

Watch the video here before going through this activity: You now have a chance to investigate this idea in the sketch below. Suppose you are given a chance to play this game 100 times and pocket the winnings. Your job is to find the size of the purple region so that over 100 spins, you win the same amount of money whether you pick purple or blue. Once you choose, you'll be able to investigate whether you were right or not. Play with this and see what you find.