geometry section 0-3 1112
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SECTION 0-3Simple Probability
Thursday, September 8, 2011
ESSENTIAL QUESTION
•How do you find the probability of simple events?
Thursday, September 8, 2011
VOCABULARY1. Experiment:
2. Trial:
3. Outcome:
4. Event:
5. Probability:
6. Theoretical Probability:
7. Experimental Probability:
Thursday, September 8, 2011
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:
Thursday, September 8, 2011
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:
Thursday, September 8, 2011
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:
Thursday, September 8, 2011
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:
Thursday, September 8, 2011
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:
Thursday, September 8, 2011
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:
Thursday, September 8, 2011
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
Thursday, September 8, 2011
PROBABILITY
Thursday, September 8, 2011
PROBABILITY
The likelihood that something will occur
Thursday, September 8, 2011
PROBABILITY
The likelihood that something will occur
P(E) =
number of favorable outcomesnumber of possible outcomes
Thursday, September 8, 2011
QUESTION
Thursday, September 8, 2011
QUESTION
What is the difference between theoretical and experimental probability?
Thursday, September 8, 2011
EXAMPLE 1
You roll one six-sided die. What is the probability of rolling a number greater than 4?
Thursday, September 8, 2011
EXAMPLE 1
You roll one six-sided die. What is the probability of rolling a number greater than 4?
P(# > 4)
Thursday, September 8, 2011
EXAMPLE 1
You roll one six-sided die. What is the probability of rolling a number greater than 4?
P(# > 4) =
26
Thursday, September 8, 2011
EXAMPLE 1
You roll one six-sided die. What is the probability of rolling a number greater than 4?
P(# > 4) =
26 =
13
Thursday, September 8, 2011
EXAMPLE 1
You roll one six-sided die. What is the probability of rolling a number greater than 4?
P(# > 4) =
26 =
13
or
Thursday, September 8, 2011
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
%
Thursday, September 8, 2011
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)
Thursday, September 8, 2011
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
Thursday, September 8, 2011
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
Thursday, September 8, 2011
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
Thursday, September 8, 2011
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.
Thursday, September 8, 2011
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
Thursday, September 8, 2011
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!!!
Thursday, September 8, 2011
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?
Thursday, September 8, 2011
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?
Thursday, September 8, 2011
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?
Thursday, September 8, 2011
PROBLEM SET
Thursday, September 8, 2011
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
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