Question: A final exam has 50 multiple choice questions. Each question has 4 possible answers, one of which is correct. A correct answer is worth 2

A final exam has 50 multiple choice questions. Each question has 4 possible answers, one of which is correct. A correct answer is worth 2 points, and no points will be taken off for each incorrect answer (no penalty for incorrect answers). The professor claims the final exam is hard, and any student gets 40 points or higher will pass the exam. A student answers all the questions by guessing at random. How likely will he pass the final exam? Please do not use continuity correction

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