1. 9.7 Probability of Compound Events
Objective: Find probabilities of unions and intersections of two events, use complementary probabilities

2. Warm up
The school council comprises 3 male students, 5 female students, and 2 teachers.
1. What is the probability that a person chosen at random from the school council is a female student?
2. What is the probability that both members of a committee chosen at random from the school council are male students?

3. Compound Events
A or B
A and B
Mutually Exclusive

4. Probability of Compound Events
If A and B are two events with an overlap, then:
If A and B are mutually exclusive events, then:

5. Ex. 1: If you draw one card from a deck, find the probability of:
Drawing a 4 or a face card
Drawing a heart or a face card.

6. Ex. 1: If you draw one card from a deck, find the probability of:
Drawing a 9 or a 10
Drawing an 8 or a spade
Drawing an 8 of spades (8 and a spade)
Drawing an 8 and a 9

7. Ex. 2: Two dice are rolled simultaneously. Find:
P(5 or 6)
P(6 or 12)
P(doubles or 10)

8. Ex. 3: If you draw 2 cards from a deck (without replacement):
P(2 hearts or 2 clubs)
P(2 clubs or 2 blacks)

9. Ex. 5: Complementary Events
P(not rolling a 2)
P(not drawing a ace)