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. Solution to Problem 1.14. (a) Each possible outcome has probability 1/36. There are 6 possible outcomes that are doubles, so the probability of doubles is 6=36 = 1=6. (b) The conditioning event (sum is 4 or less) consists of the 6 outcomes (1;1);(1;2);(1;3);(2;1);(2;2);(3;1); 2 of which are doubles, so the conditional probability of doubles is 2=6 = 1=3., Solution to Problem 1.14. (a) Each possible outcome has probability 1/36. There are 6 possible outcomes that are doubles, so the probability of doubles is 6=36 = 1=6. (b) The conditioning event (sum is 4 or less) consists of the 6 outcomes (1;1);(1;2);(1;3);(2;1);(2;2);(3;1); 2 of which are doubles, so the conditional probability of doubles is 2=6 = 1=3..

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Solution to Problem 1.14. (a) Each possible outcome has probability 1/36. There are 6 possible outcomes that are doubles, so the probability of doubles is 6=36 = 1=6. (b) The conditioning event (sum is 4 or less) consists of the 6 outcomes (1;1);(1;2);(1;3);(2;1);(2;2);(3;1); 2 of which are doubles, so the conditional probability of doubles is 2=6 = 1=3. Solutions manual could be also called answer book, key answers, answer keys, textbook solutions and also textbook answers manual. WARD INTRODUCTION TO PROBABILITY 1/E SOLUTIONS MANUAL. INTRODUCTION TO PROBABILITY SOLUTIONS MANUAL PDF.

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Solution to Problem 1.14. (a) Each possible outcome has probability 1/36. There are 6 possible outcomes that are doubles, so the probability of doubles is 6=36 = 1=6. (b) The conditioning event (sum is 4 or less) consists of the 6 outcomes (1;1);(1;2);(1;3);(2;1);(2;2);(3;1); 2 of which are doubles, so the conditional probability of doubles is 2=6 = 1=3. Solution to Problem 1.14. (a) Each possible outcome has probability 1/36. There are 6 possible outcomes that are doubles, so the probability of doubles is 6=36 = 1=6. (b) The conditioning event (sum is 4 or less) consists of the 6 outcomes (1;1);(1;2);(1;3);(2;1);(2;2);(3;1); 2 of which are doubles, so the conditional probability of doubles is 2=6 = 1=3.

Appendix: Solutions to Starred Exercises 733 Index 775. This page intentionally left blank. Preface This text is intended as an introduction to elementary probability theory and sto-chastic processes. It is particularly well suited for those wanting to see how prob- ability theory can be applied to the study of phenomena in п¬Ѓelds such as engineer-ing, computer science, management science Solution to Problem 1.14. (a) Each possible outcome has probability 1/36. There are 6 possible outcomes that are doubles, so the probability of doubles is 6=36 = 1=6. (b) The conditioning event (sum is 4 or less) consists of the 6 outcomes (1;1);(1;2);(1;3);(2;1);(2;2);(3;1); 2 of which are doubles, so the conditional probability of doubles is 2=6 = 1=3.

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