Mathematics 10

1. MODULE 7
PROBABILITY
OF AN EVENT
Simple and Compound Events

2. Probability
Probability=
𝑛𝑜.𝑜𝑓 𝑤𝑎𝑛𝑡𝑒𝑑 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠
𝑛𝑜.𝑜𝑓 𝑝𝑜𝑠𝑠𝑖𝑏𝑙𝑒 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠
2
• Ratio where the number of how many times an
outcome can occur was compared to the number of
all possible outcomes

3. Definition of Terms 3
• Experiment- doing the activity over and
over again
• Outcome- result of the experiment
• Sample space- number of all outcomes

4. Types of Events: 4
•Simple- consist of 1 outcome
•Compound- consist of more
than 1 outcome

5. Sample Problems 5
1. What is the probability of
getting no. 6 when you roll a
dice?

6. Sample Problems 6
2. What is the probability of
getting 4s when you roll 3 dice?

7. Sample Problems 7
3. What is the probability of
getting 2 red cards in a deck of
cards?

8. Sample Problems 8
4. Seniors of CIS join
different
extracurricular
activities shown in
the diagram:

9. Sample Problems 9
4. a. How many are
seniors in CIS?
4.b. How many
students participate
in athletics?

10. Sample Problems 10
If a student is randomly
chosen,
4.c. What is the probability
that the student
participates in athletics or
drama?
4.d. Drama and band?

11. Seatwork: 11
The diagram shows
the probabilities of
G10 Students joining
soccer (S) or
basketball (B).

12. Seatwork: 12
1. P(B)
2. P(S)
3. P(B∩S)
4. P(BUS)
5. P(B’∩S’)

13. Quiz: 13
In a group of students, 65 play football, 45 play
hockey, 52 play cricket, 20 play football and hockey,
25 play football and cricket, 15 play hockey and
cricket and 8 play all three games. Let F, H and C
represent the students who play football, hockey and
cricket, respectively.

14. Find the following: 14
1.How many students play all the
games?
2.How many played football only?
3.Hockey only?
4.Cricket only?

15. If a student is chosen at random, find the
probability that the student plays:
15
5. Football?
6. Hockey?
7. Cricket?
8. Football and hockey?
9. Hockey only?
10. Hockey and cricket?

16. Activity: Give Me Something 16
1.Blue or red
2.Round or rectangular
3.Round and blue
4.Round and rectangular

17. Mutually Exclusive and
Not Mutually Exclusive
Events
17

18. Analysis: 18
• Say I have a bowl containing 15 chips numbered 1 to 15,
what is a probability if I randomly choose a ball numbered
7 or 15?
• What about even or divisible by 3?

19. Questions: 19
• Is there a difference between the solution to the two
questions?
• How do you differentiate mutually exclusive to
mutually inclusive events?

20. Mutually Exclusive Event 20
• events that cannot happen at the same time
P(A U B)= P(A) + P(B)

21. Example for Mutually Exclusive: 21
What is the
probability that the
wheel stops at red
or pink?

22. Not Mutually Exclusive Event 22
• events that can happen at the same time
• also known as mutually inclusive events
P(A U B)= P(A) + P(B) – P(A∩B)

23. Example for Mutually Inclusive: 23
What is the
probability that the
wheel stops at
yellow or primary
color?

24. Sample Problem: 24
What is the probability of drawing a
black card or a ten in a deck of
cards?

25. Seatwork: 25
A bowl containing 15 chips numbered
1 to 15, what is a probability if a ball
was randomly chosen:
1. With 1 or an even number?
2. With odd number & divisible by 5?