This document discusses using probability to enlighten students about its various uses and applications. It defines probability as the likelihood of an event occurring, and provides examples of how probability is expressed and used in situations involving mutually exclusive and independent events. The document also outlines several ways probability is applied in daily life, such as in weather forecasting, sports analysis, traffic prediction, and medical research.

2.  To enlighten students about the different use of
Probability in overall.
 To familiarize everyone about the concept of how
Probability works.
 To acquire information such as facts and trivias
related to Probability.

3.  To showcase the importance of Probability in our
daily lives.
 To relate the topic of Probability in our selected
course.

5.  Means “chance” or likelihood that an event may
occur or happen.
 It expressed as a fraction, or a decimal, or percent.
 It ranges from 0 to 1, or from 0 to 100 %.

6. 1. Indicate that the event involved is expected to
happen. They do not mean that the event will occur,
only that the event is considered to be a common
occurrence.
2. Probabilities near 0 indicate that the event is not
expected to happen. They do not mean that the event
will fail to occur, only that the event is considered to
be rare,
3. Probabilities near ½ indicate that the event is just as
likely to occur as not.

7.  This is the ratio between the number of desired
outcomes to the total number of possible
outcomes.

8.  Two events are mutually exclusive if they
cannot happen at the same time. Otherwise, they
are said to be non-mutually exclusive.
 If the two events are happening one after the
other, you need to add the two probabilities.
Usually, the questions use the word “or” when
describing the outcomes.

9.  Two events are independent if the occurrence of
one does not affect the occurrence of the other.
Otherwise, they are said to be dependent.
 If the two events are happening at the same
time, you need to multiply the two probabilities.

10.  Usually, the questions use the word “and” when
describing the outcomes.

12. 1. The odds of returning to a meaningful quality of life
three months after getting CPR treatment is about 3%
more than picking a correct number on a single
roulette spin.
2. In a room of 367 people you will definitely find 2
people that share the same birthday, and you only
need 60 people in a room to get a probability of 99%
for 2 people to share the same birthday, in a classroom
that has 23 people there is a 50/50 chance of this is
happening,

13. 3. 1 out of every 2,000-3,000 babies is born with a
tooth.
4. You have a 1 in 11.5M chance of getting attacked by
a shark than winning the lotto.
5. You are more likely to die on your birthday than on
any other day of the year.
6. The concept of probability has been around for
thousands of years, with early examples of its use
dating back to ancient civilizations like Egypt and
China.

15.  Probability deals with a random chance.
 Probability measures how likely something is to
happen.
 The Casino has a mathematical advantage for every
game.
 Probability is a fundamental concept in many fields,
including physics, engineering, finance, and medicine.

17.  WEATHER- A probability forecast is an evaluation
of the hazards associated with the weather and records
the % likelihood that an event will occur.
 SPORTS- To identify the strengths and weaknesses
of a specific team or person, assessments are
undertaken in sports with the use of probability. To
predict results about the team’s performance and
individual players in the sport, analysts employ
probability and odds.

18.  TRAFFIC- We all have a tendency to forecast the
likelihood that traffic will be terrible at a particular
moment based on factors like the time of day, where
we are in the city, the weather, etc.

19.  COMPUTER NETWORKING- probability is used
to model network traffic and to design efficient
communication protocols.
 MACHINE LEARNING- probability is used to
model and analyze data, and to make predictions and
decisions based on that data.

20.  CLINICAL TRIALS - probability is used to design
and analyze experiments, and to make decisions about
the safety and effectiveness of new drugs and
treatments.

21.  One example of how probability is used in computer
engineering is the design of error-correcting codes,
which use probabilistic algorithms to correct errors in
data transmission. And another example of how
probability is how it is used in medical technology is
in the design of predictive models for diseases such as
cancer and diabetes, which use probabilistic
algorithms to identify risk factors and predict the
likelihood of disease onset.

22.  Theories of Crime Causations
A. Social Structure Theory
B. Juvenile Delinquency and Juvenile Justice
System
C. Criminal Procedure
• Probable Cause

23. 1. How can you relate the topic of Probability to your
chosen course?
2. Give 5 examples of Probability of how we can use it in
our daily lives, explain each.
3. For you, is Probability really important these days?
4. If the Probability of an event is 0 (zero), what can you
say about its ability to occur?
5. If the Probability of an event is 1 (one), what can you
say about its ability to occur?

24. 1. There are red, yellow and green lollipops in a bag. What is the
probability of selecting a blue one?
a) 1/3
b) 2/3
c) 0/3
d) 1
2. If you flipped 2 coins, what is the probability that both will land on
tails?
a) 3/4
b) 0/4
c) 2/4
d) 1/4

25. 3. If you rolled a 6-sided dice, what is the probability of rolling a 3?
a) 5/6
b) 1/6
c) 2/6
d) 4/6
4. A teacher has 9 red crayons, 4 blue crayons, 7 purple crayons, and 5
black crayons in a basket. A student reaches into the basket and randomly
selects a crayon. What is the probability that the crayon will be either blue
or black?
a) 4/20
b) 9/25
c) 13/25
d) 9/23

26. 5. If you rolled a 6-sided dice, what is the probability of rolling an even
number?
a) 4/6
b) 2/6
c) 3/6
d) 1/6
6. What is the probability of rock beating paper?
a) 3/4
b) 0/4
c) 2/4
d) 1/4

27. 7. There are 6 red, 5 blue, 3 green and 1 yellow marbles in a jar. Nelson
picks a marble without looking. What is the probability Jada picks a red
or yellow marble?
a) 1/15
b) 7/15
c) 7/30
d) 2/15
8. Scott rolls a six sided number cube (a dice). What is the probability that
the number rolled is an even or a 5?
a) 2/5
b) 4/6
c) 3/6
d) 2/4

28. 9. Joel rolls a six sided number cube (a dice). What is the probability that
the number rolled is a 2 or a number greater than 3?
a) 4/6
b) 3/6
c) 2/6
d) 4/5
10. There are 5 basketballs, 4 soccer balls and 6 footballs in a ball bin. If a
student chooses a ball at random from the bin, what is the probability the
student will pick a football or a basketball?
a) 11/15
b) 11/11
c) 4/15
d) 10/15