1. Basic Rules of Probability
Basic Rules of Probability (MAT 142)
Basic Rules of Probability

2. Basic Rules of Probability (MAT 142)
Objectives
Determine if events are mutually exclusive.
Use probability rules to determine the probability of an event.
Use a Venn diagram to determine probability of an event.

3. Basic Rules of Probability (MAT 142)
Vocabulary
mutually exclusive - events that cannot occur at the same time

4. Determine if the following events mutually exclusive.
E is the event of “being a doctor” and F is the event of “being a women”
E is the event of “being single” and F is the event of “being married”
E is the event of “being a plumber” and F is the event of “being a stamp collector”

5. Basic Rules of Probability (MAT 142)
Probability Rules

6. Basic Rules of Probability (MAT 142)
Probability Rules
if E and F are mutually exclusive

7. Standard Deck of Cards

8. Find the probability of each of the following:
a jack and a heart
a jack or a heart
not a jack of hearts
above a jack
below a three

9. Find the probability of each of the following:
both above a jack and below a three
either above a jack or below a three
not a jack of hearts
above a five
below a jack

10. If o(E) = 1:6, then find .

11. Rolling a Pair of Dice

12. Find the probability that the sum when a pair of dice is rolled is
8 or 10
even and less than 5
even or less than 5

13. Alex is taking two courses, algebra and U. S. history
Alex is taking two courses, algebra and U. S. history.  Student records indicate that the probability of passing algebra is .35, that of failing U. S. history is .35, and that of passing at least one of the two courses is .80.  Find the probability that
Alex will pass history
Alex will pass both courses

14. Alex is taking two courses, algebra and U. S. history
Alex is taking two courses, algebra and U. S. history.  Student records indicate that the probability of passing algebra is .35, that of failing U. S. history is .35, and that of passing at least one of the two courses is .80.  Find the probability that
Alex will fail both courses
Alex will pass exactly one course