Question: On a multiple choice exam, a student decides to test his luck. His exam has 20 questions, each of which has 5 answer choices. The

On a multiple choice exam, a student decides to test his luck. His exam has 20 questions, each of which has 5 answer choices. The student decides to roll a die on each question and use the result on the die as his answer; any time that he rolls a 6, he just discards that roll and tries again. Let X be the number of questions he gets right on the exam altogether. What is the probability he gets a grade of A (overall score at least 90%) using this method?

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