A student is taking amultiple-choice exam in which each question has two choices. Assuming that she has no knowledge of the correct answers to any of thequestions, she has decided on a strategy in which she will place two balls(marked AandB) 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 nine multiple-choice questions on the exam. Complete parts(a) through(d) below.

What is the probability that she will get 9 questions correct?

What is the probability that she will get no question correct?

What is the probability that she will get no more than two questions correct?

What is the probability that she will get at least eight questions correct?