Math

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.