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

ID: 2959355 • Letter: A

Question

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

a) the correct answer to the true-false question?

b)the correct answer to the multiple choice question?

c) the correct answers to both the true-false and the multiple choice questions?

d) the incorrect answers to both the true-false and the multiple choice questions?

e) the correct answer to th true-false question and the 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?

Explanation / Answer

1. 2 answers, one of which is correct: 1/2 2. 5 answers, one of which is correct: 1/5 3. Independent events: (1/5)*(1/2)=1/10 4. 2 answers to the TF question, one of which is incorrect:1/2 and 5 answers to the MC question, four of which are incorrect: 4/5 . Two independent events: (1/2)*(4/5)= 4/10 =2/5 5. 2 answers to the TF question, one of which is correct: 1/2 and 5 answers to the MC question, four of which are incorrect: 4/5. Two independent events: (1/2)*(4/5)= 4/10 =2/5 6. 2 answers to the TF question, one of which is incorrect: 1/2 and 5 answers to the MC question, one of which is correct:1/5 . Two independent events: 1/2*1/5=1/10 Please,rate! Thank you.