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Part 1

A student is taking a multiple-choice exam in which each question has

two

choices. Assuming that she has no knowledge of the correct answers to any of the questions, she has decided on a strategy in which she will place

two

balls (marked

Upper A and Upper BAandB)

into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are

four four

multiple-choice questions on the exam. Complete parts (a) through (d) below.

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Part 1

a. What is the probability that she will get four

questions correct?

(Round to four decimal places as needed.)