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Probability and Statistics
Learning Target: I can determine the theoretical probability to predict the outcome of an independent event (such as rolling two dice) Do Now 6/8 (Finals Review): Probability and Statistics Agenda Do Now Independent Probability Dice Games SKUNK! Debrief
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Independent vs. Dependent Probability
The probability of something happening is the likelihood that it will happen out of the total possible outcomes, expressed as a ratio or fraction. Independent Probability - events where the outcome does not effect future outcomes. ex. Rolling Dice Dependent Probability - events where the outcome of a previous event changes the outcome of future events. ex. Drawing Cards
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Probability Sum and Product
Probability Sum - Since the likelihood that “something will happen” is 100%, the fractions of the probability of all possible events will always add to be 1. Ex. Rock Paper Scissors - will always throw one of the three. 1/3 rock + 1/3 paper + 1/3 scissors = 3/3 throw Probability Product - for independent events, the likelihood that the same thing will happen again is the product of each event. Ex. Rock Paper Scissors - if 1/3 rock, then 1/3(1/3) = 1/9 that will throw rock twice in a row
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SKUNK! RULES of SKUNK! There are 5 rounds (S-K-U-N-K).
Everyone stands. Before each roll anyone can choose to either sit (“save” their current points) or stay standing (keep adding points and risk losing them all!) A pair of dice are rolled. The sum of the dice shown is recorded under the column for the round UNLESS… A single 1 is rolled, in which case anyone still standing loses their points for that round. Double 1 are rolled, in which case anyone left standing loses their points in that column and from ALL PREVIOUS ROUNDS. After Round 5, the person with the most total points wins.
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DICE Probability (Debrief)
What are the possible outcomes for the dice? How many ways are there to get each outcome? What are the probabilities for getting each outcome? D2 1 2 3 4 5 6 7 8 D1 9 10 11 12
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Probability and Statistics
Learning Target: I can determine the theoretical probability to predict the outcome of an independent event (such as rolling two dice) Do Now 6/9 (Finals Review): Probability and Statistics Agenda Do Now Independent Probability Dice Games SKUNK! Debrief
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P1 What is the Chance of rolling something with a 1 each round
P1 What is the Chance of rolling something with a 1 each round? Each game? Overall? Would the house win if it sits after 3 rolls no matter what? Is there a better strategy?
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P4 What is the Chance of rolling something with a 1 each round
P4 What is the Chance of rolling something with a 1 each round? Each game? Overall? Would the house win if it sits after 3 rolls no matter what? Is there a better strategy?
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P5 What is the Chance of rolling something with a 1 each round
P5 What is the Chance of rolling something with a 1 each round? Each game? Overall? Would the house win if it sits after 3 rolls no matter what? Is there a better strategy?
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P6 What is the Chance of rolling something with a 1 each round
P6 What is the Chance of rolling something with a 1 each round? Each game? Overall? Would the house win if it sits after 3 rolls no matter what? Is there a better strategy?
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P7 What is the Chance of rolling something with a 1 each round
P7 What is the Chance of rolling something with a 1 each round? Each game? Overall? Would the house win if it sits after 3 rolls no matter what? Is there a better strategy?
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Probability and Statistics
Learning Target: I can determine the theoretical probability to predict the outcome of an independent event (such as rolling two dice) Do Now 6/11 (Finals Review): Find the surface area of the figure below. Probability and Statistics Agenda Do Now 3 Act Lesson: Starburst Debrief
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3 Act Lesson: Yellow STarburst
What questions come to mind?
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Act 1: Questions
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Act 1: Estimates
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Act 2: Info We have/Need
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