This powerpoint presentation is all about the probability of a simple event
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Language: en
Added: Sep 08, 2024
Slides: 56 pages
Slide Content
D O R A THE EXPLORER
Point 1 Point 2
In our previous exploration, what we have learned? Point 1 Point 2 Point 3 Point 4 used to organize outcomes from the experiment from putting them into rows and columns.
In our previous exploration, what do we have learned? Point 1 Point 2 Point 3 Point 4 used to organize outcomes from the experiment from putting them into rows and columns. Tabular Method
In our previous exploration, what do we have learned? 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
In our previous exploration, what do we have learned? 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
In our previous exploration, what do we have learned? 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
In our previous exploration, what do we have learned? 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
In our previous exploration, what do we have learned? 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
In our previous exploration, what do we have learned? 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
ch ara cte rs 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.
Let us explore! obstacle 1 obstacle 2 obstacle 3 Surprise hill
Ba ck pa ck & M a P
Ba ck pa ck & M a P
M a p Obstacle 1 Obstacle 2 Obstacle 3 Surprise hill tunnel Misleading forest Drowning river
S el ec t Again, which area should we pass first? tunnel Misleading forest Drowning river Surprise hill
Do you see the Tunnel?
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!”
S el ec t Now, which area should we pass next? 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: P(1) P(black) P(white) P(odd numbers)
Groot: Example: Using our Magic Wheel, Calculate the probability of each event: P(1) = 1/8 P(black) = P(white) = P(odd numbers) =
Groot: Example: Using our Magic Wheel, Calculate the probability of each event: P(1) = 1/8 P(black) = 1/2 P(white) = P(odd numbers) =
Groot: Example: Using our Magic Wheel, Calculate the probability of each event: P(1) = 1/8 P(black) = 1/2 P(white) = 1/2 P(odd numbers) =
Groot: Example: Using our Magic Wheel, Calculate the probability of each event: P(1) = 1/8 P(black) = 1/2 P(white) = 1/2 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.”
S el ec t Now, which area should we pass next? 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!”
S el ec t Now, which area should we go next? tunnel Misleading forest Drowning riVer Surprise hill
Do you see Surprise Hill?
While dora and boots are on their way to surprise hill, they realize something althroughout their exploration If an event has a probability of 0, or 0%, then it will never happen or it is impossible to happen. Example: A 7 turning up in a rolling a die once. If an event has a probability of 0.5 or 50%, then the event has the same chance or even chance to happen or not to happen. Example: Winning in playing chess with your friend.
While dora and boots are on their way to surprise hill, they realize something althroughout their exploration If an event has a probability of 1, or 100%, then the event is certain to happen. Example: If today is Monday, the probability that tomorrow is Tuesday is 1. Therefore, the event that tomorrow will be a Tuesday if today is Monday is a certain event. The sum of the probabilities of all the outcomes of an experiment is 1. Example: If you flip a fair coin once, there are two possible outcomes, a head or a tail.
Oh no! Swiper!
” Swiper no Swiping ”
For us to open the gift, we must answer the following questions.