This document discusses probability and compound events. It defines key probability terms like experiment, outcomes, sample space, and events. It also covers unions and intersections of events. Examples are provided to illustrate finding the union and intersection of events. The document concludes with assignments, including answering practice problems on unions and intersections of events, and generating additional problems involving the probability of compound events.

1. Seatwork:
Probability of Compound Events

2. PROBABILITY

3. PROBABILITY
•Refers to the likelihood for
something to happen.
•It is also often refer to as the
measure of chances.

4. •Experiment – the activity that
is being done.
•Outcomes – possible results of
the experiment.
•Sample Space – Set of all
possible outcomes of an
experiment.
•Event - Any subset of possible
outcomes for an experiment.

5. Experiment Sample Space(S) Events(E)
Tossing
A
Coin
Head(H), Tail(T)
S = {H,T}
The event that a head will
occur.
E = {H}
Rolling
A
Die
S = {1, 2, 3, 4, 5, 6}
The event that even number
number appears.
E = {2, 4, 6}
Two red balls and five balls
of the same size are placed
in a jar and a ball is drawn
at random.
S = {R, R, B, B, B, B, B}
The event that a blue ball
will be drawn
E = {B, B, B, B, B}

6. UNION ANDINTERSECTION
OF AN EVENT
•Union – is a set of outcomes of
A and/or B. It is denoted as
‘𝑨 ∪ 𝑩’ and read as ‘A union
B’.
•Intersection – is a set of
outcomes of A and B. It is
denoted as ‘𝑨 ∩ 𝑩’ and read as
• ‘A intersection B’.

7. Example:
An event occur numbered
0-9.
Suppose A = {1, 2, 3, 4, 5, 6,
7} and
B = {2, 3, 5, 8}. Find 𝐀 ∪ 𝑩 ,
𝑨 ∩ 𝑩
𝒂𝒏𝒅 𝑨𝒄
.
Answer: 𝑨 ∪ 𝑩 = {𝟏, 𝟐, 𝟑, 𝟒, 𝟓, 𝟔, 𝟕, 𝟖},

8. C. A spinning wheel is divided into
12 equal sectors and numbered 1-
12. The following events were
listed.
A={1,3,5,7,9,11}
D={1,2,3,4,5,6}
B={2,4,6,8,10,12}
E={1,4,9}
C={2,3,5,11}

9. FIND THE FOLLOWING:
1. 𝑨 ∪ 𝑩 8. 𝑪𝑪
2. 𝑪 ∩ 𝑫 9. 𝑫𝑪
3. 𝑩 ∪ 𝑫
4. 𝑬 ∩ 𝑨
5. 𝑪 ∩ 𝑭
6. 𝑨𝑪
7. 𝑩𝑪

10. Check your understanding Direction: Do as
directed.
1. Find the union and intersection of an
event numbered 1-9 where 𝑨 =
𝟏, 𝟐, 𝟑, 𝟔, 𝟖 , 𝑩 = 𝟐, 𝟒, 𝟓, 𝟔 , and 𝑩𝒄
.
2. If 3 cards are picked from a standard
52-card deck, what is the probability
that all 3 cards are spades?
3. If 3 cards are picked from a standard
52-card deck, what are the odds that
all 3 cards are spades?

11. ASSIGNMENT:
1. Answer Math Time on page
38 (#4).
2. Try to give at least three
problems involving Probability
of compound events.