Lesson for probability

2. Let’s Recall:
Give the word and its meaning.
ILITPYOBARB
PROBABILITY
The chance or likelihood that an event will
happen

3. TMENEERXPI
EXPERIMENT
Anything that is repeatedly do
where results may vary even
conditions are similar

4. MALSEP ESCAP
SAMPLE SPACE
The set of all possible outcomes in
an experiment

5. NETEV
EVENT
Any subset of the sample space

6. PSLEIM ETENV
SIMPLE EVENT
Any event that has only one
outcome

7. DUPOMCON VETEN
COMPOUND EVENT
Any event that has more than one
outcome

8. Throwing a die, tossing a coin,
rotating a spinner and drawing a
card from a pack of playing cards
are all examples of probability
experiments.

11. PROBABILITY OF
COMPOUND EVENTS

12. 1.Illustrates events, and
union, and intersection of
events.
2.Illustrates the probability of
a union of two events.
3.Illustrates mutually
exclusive events.

13. What Is Probability?
The term probability refers to the likelihood of an event
occurring. You can calculate an event's probability with the
following formula:

14. For example, if you wanted to see how likely it
would be for a coin to land heads-up, you'd put it
into the formula like this:

15. Mathematical probability is expressed in fractions (½)
and percentages (50%). Once you know the probability,
you can determine the likelihood of an event, which
falls along this range:

16. REVIEW OF SIMPLE PROBABILITY
• THE PROBABILITY OF A SIMPLE EVENT IS A RATIO OF THE
NUMBER OF FAVORABLE OUTCOMES FOR THE EVENT TO THE
TOTAL NUMBER OF POSSIBLE OUTCOMES OF THE EVENT.
• THE PROBABILITY OF AN EVENT A CAN BE EXPRESSED
AS:
 
outcomes
possible
of
number
total
outcomes
favorable
of
number

a
P

17. FIND OUTCOMES OF SIMPLE EVENTS
• FOR SIMPLE EVENTS – COUNT THE OUTCOMES
• EXAMPLES:
ONE DIE- 6 OUTCOMES
ONE COIN- 2 OUTCOMES
ONE DECK OF CARDS- 52 OUTCOMES
ONE FAIR NUMBER CUBE- 6 OUTCOMES

18. FINDING OUTCOMES OF MORE THAN
ONE EVENT
• THE TOTAL OUTCOMES OF EACH EVENT ARE FOUND
BY USING A TREE DIAGRAM OR BY USING THE
FUNDAMENTAL COUNTING PRINCIPLE.
• EXAMPLE:
AT FOOTBALL GAMES, A STUDENT CONCESSION
STAND SELLS SANDWICHES ON EITHER WHEAT OR
RYE BREAD. THE SANDWICHES COME WITH SALAMI,
TURKEY, OR HAM, AND EITHER CHIPS, A BROWNIE,
OR FRUIT. USE A TREE DIAGRAM TO DETERMINE THE
NUMBER OF POSSIBLE SANDWICH COMBINATIONS.

19. TREE DIAGRAM WITH SAMPLE SPACE

20. ANSWER
• USING THE FUNDAMENTAL COUNTING PRINCIPLE
BREAD X MEAT X SIDE
2 X 3 X 3 = 18 OUTCOMES

21. MORE ON THE FUNDAMENTAL
COUNTING PRINCIPLE
• SOMETIMES THE NUMBER OF OUTCOMES CHANGES
AFTER EACH EVENT DEPENDING UPON THE SITUATION
• EXAMPLE:
THERE ARE 8 STUDENTS IN THE ALGEBRA CLUB AT CENTRAL
HIGH SCHOOL. THE STUDENTS WANT TO STAND IN A LINE
FOR THEIR YEARBOOK PICTURE. HOW MANY DIFFERENT
WAYS COULD THE 8 STUDENTS STAND FOR THEIR
PICTURE?

22. COUNTING PRINCIPLE CONT’
THE NUMBER OF WAYS TO ARRANGE THE STUDENTS
CAN BE FOUND BY MULTIPLYING THE NUMBER OF
CHOICES FOR EACH POSITION.
THERE ARE EIGHT PEOPLE FROM WHICH TO CHOOSE
FOR THE FIRST POSITION.
AFTER CHOOSING A PERSON FOR THE FIRST POSITION,
THERE ARE SEVEN PEOPLE LEFT FROM WHICH TO
CHOOSE FOR THE SECOND POSITION.

23. COUNTING PRINCIPLE
• THERE ARE NOW SIX CHOICES FOR THE THIRD
POSITION.
• THIS PROCESS CONTINUES UNTIL THERE IS ONLY
ONE CHOICE LEFT FOR THE LAST POSITION.
LET N REPRESENT THE NUMBER OF ARRANGEMENTS.
Answer: There are 40,320 different ways they
could stand.

24. PROBABILITY OF COMPOUND
EVENTS
• A COMPOUND EVENT CONSISTS OF TWO OR MORE SIMPLE
EVENTS.
• EXAMPLES:
ROLLING A DIE AND TOSSING A PENNY
SPINNING A SPINNER AND DRAWING A CARD
TOSSING TWO DICE
TOSSING TWO COINS

37. 1. Quiz in Probability of Compound events
@ Google Forms (20 points)
2. Project AN Post Test (Those who are
not yet take the assessment)