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31-12-2022
Mathematics

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A multiple-choice test consists of 10 questions with four answers to each question, of which only one is correct. A student answers each question by flipping a dime and a quarter and checking the first answer if he gets heads on both coins, the second answer if he gets heads on the dime and tails on the quarter, the third answer if he gets tails on the dime and heads on the quarter, and the fourth answer if he gets tails on both coins. Find the probabilities that he will get i) Exactly three correct answer; ii) No correct answers; iii) At most four correct answers.

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