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Suppose that on a true/false exam you have no idea at all about the answers to three questions. You choose answers randomly and therefore have a...
Suppose that on a true/false exam you have no idea at all
about the answers to three questions. You choose answers
randomly and therefore have a 50–50 chance of being
correct on any one question. Let CCW indicate that you
were correct on the first two questions and wrong on the
third, let WCW indicate that you were wrong on the first
and third questions and correct on the second, and so
forth.
a. List the elements in the sample space whose outcomes
are all possible sequences of correct and incorrect
responses on your part.
b. Write each of the following events as a set and find its
probability:
(i) The event that exactly one answer is correct.
(ii) The event that at least two answers are correct.
(iii) The event that no answer is correct.
