Probability based on Random Selection
A student taking a multiple choice examination does not know the answer to two questions. All have five choices for the answer. For one of the two questions the student can eliminate two answer choices as incorrect but has no idea about the other answer choices for that question.
For the other question, the student has no clue about the correct answer at all.
Assume that whether the student chooses the correct answer on one of the question does not affect whether the student chooses the correct answer on the other question.
Find the probability that:
a) The student answers both questions correctly.
b) The student answers exactly one of the questions correctly
c) The student answers neither questions correctly.
Probabilities based on random selection are solved.
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