5. The probability that Stu doesn't do his homework is 3/4. The probability that his teacher collects the assignment is 4/5. a. Draw a tree diagram or chart illustrating all possible outcomes. (Stu either does, or doesn't do his homework. The teacher either collects, or doesn't collect the assignment.) b. What is the probability that Stu doesn't do his homework and gets away with it? (Assume he doesn't look guilty when he doesn't do his homework.) c. Given that the teacher collected the homework, what was the probability that Stu did not do his homework?

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