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Lesson 12 – Do Now Do now Expectations: No talking for any reason, please. 1)Solve for the equation: 2)If a $40 shirt is discounted 30%, what is the sale price of the shirt? 3) Identify the domain and range. Is this a function? { (8, 11), (4, 15), (6, 17), (8, 19), (3, 11) } Domain: Range:

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DI - Lesson 12 How can you tell if a die is loaded without weighing or looking at it?

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SWBAT SWBAT determine the likelihood that a single event will occur using experimental probability. Key Skills: Sample Space Simplifying Fractions There are 8 questions on the benchmark that use this skill. Lesson 12

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Today’s Big Question(s): When you hear and see the word experimental, what do you think it means? Lesson 12

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Let’s look at a deck of cards… DI - Lesson 12

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Vocabulary: Experimental Probability When an experiment is performed that consists of a certain number of trials, the experimental probability of an event A is given by: DI - Lesson 12

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Key Concept: Experimental Probability Sometimes is it not possible or convenient to find the theoretical probability of an event. In such cases, you may be able to calculate an experimental probability by performing an experiment, conducting an experiment, or looking at the history of the event. DI - Lesson 12

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1) A coin is tossed 60 times. 27 times head appeared. Find the experimental probability of getting heads.

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2) DI - Lesson 12

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3) An experiment consists of spinning a spinner. Use the results in the table to find the experimental probability of each event. a) spinner lands on blue b) spinner does not land on green OutcomeFrequency Red7 Blue8 Green5

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DI - Lesson 12 4) Ms. Shu has a box containing a very large number of colored marbles. She does not know how many there are, so it is hard for her to get the exact probability that a marble drawn from the box will be blue. So she does the following. She draws a marble from the box and records the color, and then puts the marble back. She does this 50 times and here are her results: 13 yellow marbles, 9 blue marbles, 19 red marbles, 5 green marbles, 4 white marbles. Find the experimental probability of drawing a marble that is red or blue.

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Turn-n-Talk 1 minute silent think/research time 2 minutes silent write time 1 minute talk time What is the difference between theoretical probability and experimental probability?

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Contrast experimental and theoretical probability Experimental probability is the result of an experiment. Theoretical probability is what is expected to happen.

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If you increase the number of trials used to compute the experimental probability, then you will find that the experimental probability gets closer and closer to the theoretical probability.

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You have ___________ minutes to silently/independently complete the guided practice problems on your handout. I will walk around and give you feedback on your work. GP – Lesson 12

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EXAMPLE: You want the experimental probability that if you draw 2 cards from the top of a deck of playing cards that both cards will be hearts. So, you shuffle a deck 10 times and each time you draw the top two cards off the deck and see what you got. Here are the results of the ten draws: #1: 1 heart, 1 spade #2: 1 diamond, 1 spade #3: 2 diamonds #4: 2 clubs #5: 2 hearts #6: 1 club, 1 diamond #7: 2 hearts #8: 1 heart, 1 club #9: 1 club, 1 spade #10: 2 spades What is experimental probability of drawing 2 hearts? GP - Lesson 12

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EXAMPLE: A gambler thinks a die may be "loaded". The gambler would like to check this out experimentally. The gambler knows that the chance of rolling a one should be 1/6, if the die is fair. The same probability for rolling a two, three, four, five or six. So the gambler rolls this die 60 times and record the number of times that each side is rolled. The gambler gets the following results: one is rolled 3 times, two is rolled 5 times, three is rolled 32 times, four is rolled 2 times, five is rolled 4 times, and six is rolled 4 times. Find the experimental probability of rolling three. GP- Lesson 12

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Closing Mastery Check Answer the following questions in your notes. What are the three ways that one can represent the probability of an event occurring?

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