Basic Concepts of Probability - PowerPoint Presentation For Teaching

If your guess is
correct,
+ points
If wrong, answer one of the ff.
1 2 3

At the end of the lesson, the students must be able to:
1. Identify the terminologies used in probability.
2. Determine the sample space and the event of an
experiment.
3. Give the importance of learning the concept of
probability.

Probability is a branch of mathematics that deals with
calculating the likelihood of a given event's occurrence,
which is expressed as a number between 1 and 0. The more
likely an event is to occur, the higher its probability. The
less likely an event is to occur, the lower its probability.
Experiment is anything that is repeatedly do such as rolling
a die, tossing a coin, or randomly choosing a ball where
results may vary even conditions are similar. Each
repetition of an experiment is called trial.

Outcome is a result of an experiment.
Sample Space is the set of all possible outcomes in an
experiment
Event is any subset of a sample space or any collection of
outcomes, and a simple event is an event with only one
possible outcome.

Experiment Sample Space (S) Events (E)
Tossing a coin
Rolling a die
Head (H) Tail (T)
S = {H, T}
The event that
head occur.
E = {H}
S = {1, 2, 3, 4, 5, 6}
The event even
numbers
appears.
E = {2, 4, 6}

Rolling a die
and tossing a
coin
The event that
an even number
will come out.
S = {1H, 2H, 3H, 4H, 5H,
6H, 1T, 2T, 3T, 4T, 5T, 6T}
E = {2H, 4H, 6H,
2T, 4T, 6T}
The event that a tail
and odd number will
come out.
E = {1T, 3T, 5T}

Experiment Sample Space
(S)
Events (E)
Tossing two coins S = {HH, HT,
TH, TT}
Getting two
heads-side up.
E = {__}
Tossing three coins S =
{____________}
Getting two tails-
side up and a
head-side up.
E = {TTH, THT,
HTT}

10 balls with
numbers written on
them ranging from 1
to 10 are placed
inside a box, and a
ball is picked at
random.
S =
{____________}
Balls with even
numbers were
picked
E = {______}

To easily determine the total number of sample space for an
experiment if it involves two or more activities, we can
multiply the number of their outcomes.
Example: In tossing one coin, we can get two different
outcomes, head and tail. If we toss two coins, we can
multiply the number of outcomes for the first coin to the
number of outcomes for the second coin.
2 x 2 = 22 = 4
S = {HH, HT, TH, TT}

For tossing 3 coins
2 × 2 × 2 = 23 = 8
S = {HHH, HTT, HHT, HTH, THT, THH, TTH, TTT}
For tossing a coin and rolling a die
2 × 6 = 12
S = {1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T}

How many outcomes can we get when we roll a pair of
dice?
6 × 6 = 62 = 36
S =

S =
List all the event on getting the same number as an outcome
when two dice were rolled.
E = {?}

Direction: List the sample space and the event corresponding to
each description.
1. Four coins are tossed
S = {_________________}
_____ Event A: all come up heads
_____ Event B: all come up tails
_____ Event C: two come up heads and two come up tails
_____ Event D: at least one come up heads.

1. It is a branch of mathematics that deals with calculating the
likelihood of a given event's occurrence.
2. It is the set of all possible outcomes in an experiment.
3. It is anything that is repeatedly do such as rolling a die, tossing a
coin, or randomly choosing a ball where results may vary even
conditions are similar. Each repetition of an experiment is called
trial.
4. Number of outcomes when you toss a coin and roll two dice.
5. It is any subset of a sample space or any collection of outcomes.
6. The number of outcomes in which we get two heads from tossing
two coins.

Search the formula for:
probability of simple events.
Give some instances where finding the probability can
help a person on his/her daily life.

Who do you think is the most attractive
boy in your class?

Who do you think is the most attractive
girl in your class?

Who do you consider your best friend
among your classmates?

Basic Concepts of Probability - PowerPoint Presentation For Teaching

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