Final Exam Study Guide Problem 13 Solution

Tree diagrams are often useful for determining compound probabilities and conditional probabilities. Although you will not do a card problem on the final, it is useful for demonstrating how tree diagram are constructed. For this problem you need to remember that there are 52 card in a deck, 13 cards in each suit, and 4 cards of each denomination.

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Final Exam Study Guide Problems 11 and 12 Solutions

These two problems ask you to find the number of ways to do something. The key is to decide whether order matters (permutation) or order does not matter (combination). To count permutations where selections may not be repeated, we use

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For combinations where selections may not be repeated, we use

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Many of you may choose to use technology to compute these values. But this won’t get you very far if you cannot distinguish between when you use permutations and when you use combinations.These types of problems are covered in Section 12.3 of your textbook.

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