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DORA
THE
EXPLORER
Point 1
Point 2
Inourpreviousexploration,
whatwehavelearned?
Point 1
Point 2
Point 3
Point 4
1.used to organize outcomes from the experiment
from putting them into rows and columns.
Inourpreviousexploration,
whatdowehavelearned?
Point 1
Point 2
Point 3
Point 4
1.used to organize outcomes from the experiment
from putting them into rows and columns.
Tabular Method
Inourpreviousexploration,
whatdowehavelearned?
Point 1
Point 2
Point 3
Point 4
2. allows us to see all possible outcomes of an event
and calculate the probability.
Tabular Method
Inourpreviousexploration,
whatdowehavelearned?
Point 1
Point 2
Point 3
Point 4
2. allows us to see all possible outcomes of an event
and calculate the probability.
Tabular Method
TREE DIAGRAM
Inourpreviousexploration,
whatdowehavelearned?
Point 1
Point 2
Point 3
Point 4
3. organizes outcomes and groups them in a
systematic way for easier enumeration of results.
Tabular Method
TREE DIAGRAM
Inourpreviousexploration,
whatdowehavelearned?
Point 1
Point 2
Point 3
Point 4
3. organizes outcomes and groups them in a
systematic way for easier enumeration of results.
Tabular Method
TREE DIAGRAM
SYSTEMatic
listing
Inourpreviousexploration,
whatdowehavelearned?
Point 1
Point 2
Point 3
Point 4
4. identifies the total number of possible final
selections or outcomes by multiplying the number
of choices for each decision.
Tabular Method
TREE DIAGRAM
SYSTEMatic
listing
Inourpreviousexploration,
whatdowehavelearned?
Point 1
Point 2
Point 3
Point 4
4. identifies the total number of possible final
selections or outcomes by multiplying the number
of choices for each decision.
Tabular Method
TREE DIAGRAM
SYSTEMatic
listing
Fundamental
counting principle
characters
Boots Swiper
dora
BoOT’s Birthday present!
Boots is such a good friend of mine and today, I
have a big surprise to him on surprise hill.
Letusexplore!
obstacle 1
obstacle 2
obstacle 3
Surprise hill
Backpack
&
MaP
Backpack
&
MaP
Map
Obstacle 1
Obstacle 2
Obstacle 3
Surprise
hill
tunnel
Misleading forest
Drowning river
Select
Again,whichareashould
wepassfirst?
tunnel Misleading
forest
Drowning river Surprise hill
Do you see the Tunnel?
Q4W8_FinalDemo_PPT the chances probability
tunnel
Tunnel Keeper:
For you to be able to pass
through the tunnel, you
have to answer the
question, “What is our
topic all about?”
You will be guided by the
following questions:
Tunnel keeper:
: By rolling a die, what did we get?
: If I roll this die again, what is the
probability of getting a 5?
: By rolling a colored die, what color did we get?
: If I roll this die again, what is the probability
of getting a color blue?
: By tossing a coin, what did we get?
: If I toss this coin again, what is the
probability of getting a head?
Tunnel keeper:
From this, what do you think is our
topic for today?
Tunnel keeper:
From this, what do you think is out topic
for today?
Finding the probability
of a simple event
Tunnel keeper:
From this, what do you think is out topic
for today?
Finding the probability
of a simple event
“You may now pass the tunnel. Farewell!”
Select
Now,whichareashould
wepassnext?
tunnel Misleading
forest
Drowning riVer Surprise hill
Do you see the Misleading Forest?
Misleading forest
Groot:
“I am Groot, the
knowledgeable
guardian of this forest.
You can’t pass through
this forest unless you
absorb all the learnings
inside this forest.”
Groot:
Probability is the measure of
likelihood or chance that an
event will happen or occur.
Probabilities are written as
fractions or decimals from 0 to
1 or as percent from 0% to
100%. The higher an event‘s
probability, the more likely that
the event is to happen.
Groot:
A Simple Event is one that can only happen in one way - in
other words, it has a single outcome.
Probability of simple event can be calculated using the formula:
P (event) = ,
In symbol P(E) = , where E is the event, n(E) is the number of
favorable outcomes, while n(S) is the total number of possible
outcomes of an experiment or the total number of outcomes in
the sample space.
Groot:
P (event) = ,
Example:
If you flip a coin once, what is the probability of getting a head?
P(E) = where: P(E) is the probability of the event (H).
 n(E) is the number of getting a head.
 n(S) is the total number of possible outcomes.
P(H) = . So, the probability of getting a head in flipping a coin once
is .
Groot:
Example:
5 blue balls, 2 orange balls, and 3 white balls.
What is the probability of picking an orange ball?
Groot:
Example:
5 blue balls, 2 orange balls, and 3 white balls.
What is the probability of picking an orange ball?
P(O) = = . So, the probability of getting an
orange ball is .
Groot:
Example:
Using our Magic Wheel, Calculate the probability
of each event:
1. P(1)
2. P(black)
3. P(white)
4. P(odd numbers)
Groot:
Example:
Using our Magic Wheel, Calculate the probability
of each event:
1. P(1) = 1/8
2. P(black) =
3. P(white) =
4. P(odd numbers) =
Groot:
Example:
Using our Magic Wheel, Calculate the probability
of each event:
1. P(1) = 1/8
2. P(black) = 1/2
3. P(white) =
4. P(odd numbers) =
Groot:
Example:
Using our Magic Wheel, Calculate the probability
of each event:
1. P(1) = 1/8
2. P(black) = 1/2
3. P(white) = 1/2
4. P(odd numbers) =
Groot:
Example:
Using our Magic Wheel, Calculate the probability
of each event:
1. P(1) = 1/8
2. P(black) = 1/2
3. P(white) = 1/2
4. P(odd numbers) = 1/2
Misleading forest
Groot:
“It looks like you have
already absorb all the
knowledge that this
forest could give to you,
you may now pass.”
Select
Now,whichareashould
wepassnext?
tunnel Misleading
forest
Drowning riVer Surprise hill
Do you see the Drowning River?
Drowning river
Crocoman:
“I am Crocoman, the
patrol guardian of this
river. You can only pass
this river after you give
a plausible reason for
the given scenario.”
Drowning river
Crocoman:
Jannah is hungry and has only 50 pesos left on her pocket and she
is confused if she should bet on the ripa because of the many
prizes that can be received if she wins it. She wants to know how
likely she is to win if she bets on it.
What is the probability of Jannah in winning the ripa if it will be run
using bingo shaker that has 1-75 numbers on it. She is planning to
pick number 9 because it is her favorite number.
What do you think Jannah should do? Take a bet or not?
Drowning river
Crocoman:
Jannah is hungry and has 50 pesos left on her pocket and she is
confused if she should bet on the ripa because of the many prizes
that can be received if she wins it. She wants to know how likely
she is to win if she bets on it.
What is the probability of Jannah in winning the ripa if it will be run
using bingo shaker that has 1-75 numbers on it. She is planning to
pick number 9 because it is her favorite number.
What do you think Jannah should do? Take a bet or not?
P(9) = . So, the probability of Jannah in winning the ripa is .
Drowning river
Crocoman:
“You may now pass the
drowning river. Take
care!”
Select
Now,whichareashould
wegonext?
tunnel Misleading
forest
Drowning riVer Surprise hill
Do you see Surprise Hill?
Whiledoraandbootsareontheirwaytosurprisehill,theyrealize
somethingalthroughouttheirexploration
1. Ifaneventhasaprobabilityof0,or0%,thenitwillnever
happen or it is impossible to happen. Example: A 7
turningupinarollingadieonce.
2. If an event has a probability of 0.5 or 50%, then the
eventhasthesamechanceorevenchancetohappen
or not to happen. Example: Winning in playing chess
withyourfriend.
Whiledoraandbootsareontheirwaytosurprisehill,theyrealize
somethingalthroughouttheirexploration
3. If an event has a probability of 1, or 100%, then the event is
certaintohappen.
Example: If today is Monday, the probability that tomorrow is
Tuesday is 1. Therefore, the event that tomorrow will be a
TuesdayiftodayisMondayisacertainevent.
4. The sum of the probabilities of all the outcomes of an
experimentis1.
Example: If you flip a fair coin once, there are two possible
outcomes,aheadoratail.
Oh no! Swiper!
”Swiper no
Swiping”
Q4W8_FinalDemo_PPT the chances probability
Forustoopenthegift,we
mustanswerthefollowing
questions.
Q4W8_FinalDemo_PPT the chances probability
Areyouexcitedtoopenthe
box?
Thosewhoarepresent
todaywillreceiveaprize!
Thank you for listening
Boots Swiper
dora

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Q4W8_FinalDemo_PPT the chances probability