14111cn7.5-6

14111cn7.5-6 - c At least one of the die is showing a 6...

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c ± Kendra Kilmer October 11, 2011 Section 7.3 - Rules of Probability Properties : 1. P ( E ) 0 for any event E 2. P ( S ) = 1 3. If E and F are mutually exclusive (that is, E F = /0), then P ( E F ) = P ( E ) + P ( F ) 4. P ( E F ) = P ( E ) + P ( F ) - P ( E F ) 5. P ( E c ) = 1 - P ( E ) Example 1 : Let E and F be two events of an experiment with sample space S. Suppose P ( E ) = 0 . 7, P ( F ) = 0 . 5, and P ( E F ) = 0 . 3. Compute: a) P ( E F ) b) P ( E c ) c) P ( F c ) d) P ( E c F c ) e) P ( E c F ) Example 2: An experiment consists of selecting a card at random from a 52-card deck. What is the probability that a diamond or a king is drawn? 5
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c ± Kendra Kilmer October 11, 2011 Example 3: A pair of fair six-sided dice is cast and the number that appears uppermost on each die is observed. Determine the probability of the following events: a) A double is thrown. b) The sum of the numbers is at least 4.
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Unformatted text preview: c) At least one of the die is showing a 6. Example 4: Among 500 freshman pursuing a business degree at a university, 320 are enrolled in an Economics course, 225 are enrolled in a Mathematics course, and 140 are enrolled in both an Economics and a Mathematics course. What is the probability that a freshman selected at random from this group is enrolled in: a) an Economics or Mathematics course? b) exactly one of these two courses? c) neither an Economics course nor a Mathematics course? Section 7.3 Highly Suggested Homework Problems: 1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 23, 25, 27, 31, 35, 45 6...
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14111cn7.5-6 - c At least one of the die is showing a 6...

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