Each Monday, your professor randomly assigns the 5 problems on the previous week's assignment to a...

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Each Monday, your professor randomly assigns the 5 problems on the previous week's assignment to a random student to be worked on the board. Students are called in problem order (i.e., the first problem is assigned and worked, then the second problem is assigned and worked, etc.). You did not get to the last two problems, but are confident in your solutions to the first three problems. Each assignment consists of 5 problems and there are 15 students in the course. Answer the following. (a) (3 pts) What is the probability you must present one of the last two problems? (b) (3 pts) Given that two different students were called to work problems one and two, what is the probability you have to present one of the last two problems? Each Monday, your professor randomly assigns the 5 problems on the previous week's assignment to a random student to be worked on the board. Students are called in problem order (i.e., the first problem is assigned and worked, then the second problem is assigned and worked, etc.). You did not get to the last two problems, but are confident in your solutions to the first three problems. Each assignment consists of 5 problems and there are 15 students in the course. Answer the following. (a) (3 pts) What is the probability you must present one of the last two problems? (b) (3 pts) Given that two different students were called to work problems one and two, what is the probability you have to present one of the last two problems?

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a To calculate the probability that you must present one of the last two problems we need to consider the number of possible outcomes and the number o... View the full answer