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A student taking a midterm exam in Ancient History comes to two questions pertaining to a...

A student taking a midterm exam in Ancient History comes to two questions pertaining to a lecture that he missed, so he decides to take a random guess on both questions. One question is true-false and the other is multiple choice with four possible answers.

1. What is the probability of guessing the correct answers to both the true/false question and the multiple choice question?

2.  What is the probability of guessing the incorrect answers to both the true/false question and the multiple choice question?

3. What is the probability of guessing the correct answer to the true/false question and an incorrect answer to the multiple choice question?

4. What is the probability of guessing the incorrect answer to the true/false question and the correct answer to the multiple choice question?

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