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The 1 in 6 wins game As a special promotion for its 20 ounce bottles...

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The 1 in 6 wins game As a special promotion for its 20 ounce bottles of soda a soft drink company printed a message on the inside of each bottle cap Some caps said Please try again while others said You re a winner The company advertised the promotion with the slogan 1 in 6 wins a prize Seven friends each buy one 20 ounce bottle at a local convenience store The store clerk is surprised when three of them win a prize Is this group of friends just lucky 3 out of 7 winners could happen by chance or is the company s 1 in 6 claim inaccurate 3 out of 7 winners is not likely to happen by chance First perform a simulation to help answer this question For now let s assume that the company is telling the truth and that every 20 ounce bottle of soda it fills has a 1 in 6 chance of getting a cap that says You re a winner 1 How can we model this 2 Define and conduct one trial for this simulation

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