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4. The television game show The Price Is Right has a game called the Shell Game. The game has four shells, and one of

4. The television game show The Price Is Right has a game called the Shell Game. The game has four shells, and one of these four shells has a ball under it. The contestant chooses one shell. If this shell con- tains the ball, the contestant wins. If a contestant chooses one shell randomly, what is the probability of each of the following outcomes? a. contestant wins b. contestant loses 2+2+2 Do these probabilities add up to 1.0? If yes, why?

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