A quiz consists of 20 true-false questions. The score for each question is 1 point if it is answered correctly, and 0 otherwise. 1. Suppose a student guesses the answer to Question 1 on the test by tossing a coin: if the coin lands Heads, she answers True, and if it lands Tails, she answers False. What is the chance that she gets the right answer? 2. Suppose a student guesses the answers to both Questions 1 and 2 as described in 4A, using a different toss for each question. Are the events “gets the right answer to Question 1” and “gets the right answer to Question 2” independent?
1. The probability of getting the right answer is 1/2. 2. The outcome of each of the 2 tosses has no effect on the outcome of the other toss. Therefore the events are independent.
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