# 1. A student taking a midterm exam in Ancient History comes to two questions pertaining to a lecture that he missed, and 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. What is the probability of guessing?

a. the correct answer to the true/false question? – 1 out of 2 chances – 0.5 or 50%
b. the correct answer to the multiple choice question?
c. the correct answers to both the true/false question and the multiple choice question?
d. the incorrect answers to both the true/false question and the multiple choice question?
e. the correct answer to the true/false question and an incorrect answer to the multiple choice question?
f. the incorrect answer to the true/false question and the correct answer to the multiple choice question?

How would you solve for these questions.. I feel that got different answers.

Thanks

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1. 1b. 1/4 = .25

Probability of both found by multiplying individual probabilities.

E. .5 * (1-.25) = ?

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