Question: Calvin is taking a 10-question true/false test and determining which answer to choose for each question by flipping a fair coin. He picks true if

Calvin is taking a 10-question true/false test and determining which answer to choose for each question by flipping a fair coin. He picks true if he gets heads and false if he gets tails.

a. What’s the probability Calvin gets all 10 questions correct?

b. What’s the probability Calvin gets all 10 questions incorrect?

c. How do your answers to (a) and (b) compare? Why?

d. For Calvin to pass, he needs to get at least 6 correct. What is the probability he will pass the test?

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