1) The document discusses probabilities of compound events, which is finding the likelihood of two or more events occurring simultaneously. Examples are provided to demonstrate calculating probabilities of compound events using organized lists, diagrams, and tables. 2) One example shows calculating the probability of spinning a spinner to land on green and another spinner to land on the letter B. Another uses a tree diagram to find the probability of tossing a quarter and dime and getting tails for both. 3) The final example calculates the probability of picking a red marble first then a blue marble from a bag without and with replacement of the first marble between picks.

1. GET THIS OUT!!!!!!!!!!
 Classwork
– Probabilities of Simple of Events
worksheet

2. QUICK CHECK 6.3
1. Do not write on my paper.
2. You must have an answer column.
3. Put your answers in the clicker.

3. Unit 6 Lesson 4
Probabilities of
Compound Events
Essential Question:
What is the likeliness of an event
occurring based on the probability near
0, 1/2, or 1?

4. Probabilities of Compound Events
• Sometimes, you may want to find the probability that two
or more events will occur at the same time. This is called
finding the probability of compound events.
– Organized lists, diagrams, and tables can help you do
this.
• Imagine tossing two fair coins. The outcome of the first
event does not affect the second event. So, these are
called independent events.
• Imagine drawing a name from a hat, without replacing it,
drawing a name from the hat. In this case, the outcome of
the second event depends on the outcome of the first
event. These are called dependent events.

5. Example 1
Each spinner is divided into equal-sized sections. What
is the probability that the first spinner will land on
green and the second spinner will land on the letter B.

6. Example 2
Maya tosses a quarter and a dime into the air at the
same time. Make a tree diagram to show all possible
outcomes. Then determine the probability that both
coins will land on tails.

7. Example 3
A bag contains 2 blue (B) and 5 red (R)
marbles. Harrison reaches into the
bag and picks a marble without
looking. Without replacing the first
marble, he will pick a second marble
without looking. What is the
probability that he will pick a red
marble first and a blue marble
second?
• P(red) = 5/7
• P(blue) = 2/6 {because the first red
was not replaced}
• Multiply: (5/7)(2/6) = 10/42 = 5/21
• Answer : P(red, blue) = 5/21
B
B
R
R
R
R
R

8. Example 3-Revisited
B
B
R
R
R
R
R
A bag contains 2 blue (B) and 5
red (R) marbles. Harrison
reaches into the bag and picks
a marble. This time, he
replaces the first marble
before he picks a second
marble. What is the
probability that he will pick a
red marble first and a blue
marble second?
• P(red) = 5/7
• P(blue) = 2/7 {because the
first red was replaced}
• Multiply: (5/7)(2/7) = 10/49
• Answer : P(red, blue) = 10/49

9. Assignments
 Classwork
– Probabilities of Compound of Events worksheet
 Homework
– none
 REMINDER: Classwork not completed in
class should be completed as homework.
 You can come in during homeroom to borrow a
worksheet to complete your classwork.
 Or, you may take a picture, WITH
PERMISSION, of the page at the end of
class.