Geometry Section 0-3 1112
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SECTION 0-3Simple Probability
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ESSENTIAL QUESTION
•How do you find the probability of simple events?
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VOCABULARY1. Experiment:
2. Trial:
3. Outcome:
4. Event:
5. Probability:
6. Theoretical Probability:
7. Experimental Probability:
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VOCABULARY1. Experiment: An activity that produces data that is
observed and recorded
2. Trial:
3. Outcome:
4. Event:
5. Probability:
6. Theoretical Probability:
7. Experimental Probability:
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VOCABULARY1. Experiment: An activity that produces data that is
observed and recorded
2. Trial: One single performance of the experiment
3. Outcome:
4. Event:
5. Probability:
6. Theoretical Probability:
7. Experimental Probability:
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VOCABULARY1. Experiment: An activity that produces data that is
observed and recorded
2. Trial: One single performance of the experiment
3. Outcome: The result of one trial
4. Event:
5. Probability:
6. Theoretical Probability:
7. Experimental Probability:
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VOCABULARY1. Experiment: An activity that produces data that is
observed and recorded
2. Trial: One single performance of the experiment
3. Outcome: The result of one trial
4. Event: A collection of outcomes of an experiment
5. Probability:
6. Theoretical Probability:
7. Experimental Probability:
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VOCABULARY1. Experiment: An activity that produces data that is
observed and recorded
2. Trial: One single performance of the experiment
3. Outcome: The result of one trial
4. Event: A collection of outcomes of an experiment
5. Probability: The likelihood that something will occur
6. Theoretical Probability:
7. Experimental Probability:
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VOCABULARY1. Experiment: An activity that produces data that is
observed and recorded
2. Trial: One single performance of the experiment
3. Outcome: The result of one trial
4. Event: A collection of outcomes of an experiment
5. Probability: The likelihood that something will occur
6. Theoretical Probability: What you expect should occur in an experiment
7. Experimental Probability:
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VOCABULARY1. Experiment: An activity that produces data that is
observed and recorded
2. Trial: One single performance of the experiment
3. Outcome: The result of one trial
4. Event: A collection of outcomes of an experiment
5. Probability: The likelihood that something will occur
6. Theoretical Probability: What you expect should occur in an experiment
7. Experimental Probability: What actually occurs when you conduct an experiment
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PROBABILITY
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PROBABILITY
The likelihood that something will occur
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PROBABILITY
The likelihood that something will occur
P(E) =
number of favorable outcomesnumber of possible outcomes
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QUESTION
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QUESTION
What is the difference between theoretical and experimental probability?
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EXAMPLE 1
You roll one six-sided die. What is the probability of rolling a number greater than 4?
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EXAMPLE 1
You roll one six-sided die. What is the probability of rolling a number greater than 4?
P(# > 4)
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EXAMPLE 1
You roll one six-sided die. What is the probability of rolling a number greater than 4?
P(# > 4) =
26
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EXAMPLE 1
You roll one six-sided die. What is the probability of rolling a number greater than 4?
P(# > 4) =
26 =
13
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EXAMPLE 1
You roll one six-sided die. What is the probability of rolling a number greater than 4?
P(# > 4) =
26 =
13
or
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EXAMPLE 1
You roll one six-sided die. What is the probability of rolling a number greater than 4?
P(# > 4) =
26 =
13
or 33
13
%
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EXAMPLE 2A bag of lollipops has 4 orange, 6 grape, 2 watermelon, and 5 cherry lollipops. Find the following probabilities of getting a
random lollipop.
a. P(grape) b. P(not watermelon)
c. P(orange or cherry)
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EXAMPLE 2A bag of lollipops has 4 orange, 6 grape, 2 watermelon, and 5 cherry lollipops. Find the following probabilities of getting a
random lollipop.
a. P(grape) b. P(not watermelon)
c. P(orange or cherry)
617
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EXAMPLE 2A bag of lollipops has 4 orange, 6 grape, 2 watermelon, and 5 cherry lollipops. Find the following probabilities of getting a
random lollipop.
a. P(grape) b. P(not watermelon)
c. P(orange or cherry)
617
1517
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EXAMPLE 2A bag of lollipops has 4 orange, 6 grape, 2 watermelon, and 5 cherry lollipops. Find the following probabilities of getting a
random lollipop.
a. P(grape) b. P(not watermelon)
c. P(orange or cherry)
617
1517
917
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EXAMPLE 3Find a coin and flip it 20 times. Keep track of how many
heads and tails you flip in the table. Then answer the questions based on your results.
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EXAMPLE 3Find a coin and flip it 20 times. Keep track of how many
heads and tails you flip in the table. Then answer the questions based on your results.
Outcome Heads Tails
Tally
Frequency
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EXAMPLE 3Find a coin and flip it 20 times. Keep track of how many
heads and tails you flip in the table. Then answer the questions based on your results.
Outcome Heads Tails
Tally
FrequencyYou need to do yo
ur own
experiment!!!
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EXAMPLE 3a. What percentage of heads were you expecting before you
performed your experiment?
b. What percentage of heads did you actually have in your experiment?
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EXAMPLE 3a. What percentage of heads were you expecting before you
performed your experiment?
Hopefully, you expected 50%. Why should you expect this?
b. What percentage of heads did you actually have in your experiment?
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EXAMPLE 3a. What percentage of heads were you expecting before you
performed your experiment?
Hopefully, you expected 50%. Why should you expect this?
b. What percentage of heads did you actually have in your experiment?
Answers will vary. Why is that?
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PROBLEM SET
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PROBLEM SET
p. P9 #1-23 odd
“Your time is limited, so don’t waste it living someone else’s life. Don’t be trapped by dogma - which is living with the results of other people’s thinking. Don’t let the noise of other’s opinions drown out your own
inner voice. And most important, have the courage to follow your heart and intuition. !ey somehow already know what you truly want
to become. Everything else is secondary.” - Steve JobsThursday, September 8, 2011