probability quiz 1 - A nor student B will fail the...

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Name: AMS-131: Introduction to Probability Theory Quiz 1 (Thursday April 10, 2008) Quizzes are closed-book, closed-notes, with the exception of one (letter size) piece of paper with formulas on both sides. Please show all your work. Unsupported answers will receive little (or no) credit, even if they are correct. Good luck! 1. (6 points). Assume that the probability that student A will fail a certain mathematics examina- tion is 0 . 5; the probability that student B will fail the same examination is 0 . 2; and the probability that both student A and B will fail the examination is 0 . 1. (a) What is the probability that neither student
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Unformatted text preview: A nor student B will fail the examination? (b) What is the probability that exactly one of the two students will fail the examination? 2. (4 points). Consider an experiment in which two fair coins are tossed (each coin is tossed once), and a balanced die is rolled once. You can assume that all possible outcomes are equally likely (that is, assume that the sample space is simple). What is the probability that both faces of the coins will be the same and that an even number will be obtained on the die?...
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This note was uploaded on 04/17/2008 for the course AMS 131 taught by Professor Kottas during the Spring '08 term at University of California, Santa Cruz.

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