14111cn7.5-6

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

This preview shows pages 1–2. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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.
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online