Warm Up:
1. The spinner above is used on a board game. What is the probability that in a single spin, you spin a 2?
2. What is the probability of spinning a 1 or a number greater than 1?
3. Sarah performed the following experiment and ended up with the following results:
1 1 1 2 3 3 2 2 2 1 1 3 2 1 What is the experimental probability that she will spin a 1?
Nov 29­9:52 AM
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Simulations:
A Simulation is an
Imitation
A simulation is an experiment you can perform to make PREDICTIONS about real world situations
The probability represented in a Simulation must ALWAYS MATCH
the probability in situation
Possible ways to Simulate:
Coin
Number Cube
Spinner
Random Number Generator
Deck of Cards
Bag of Marbles
Nov 29­10:03 AM
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Jack is designing a game that will have a spinner. He wants a spinner so that the probability will be half of the time a play skips a space, and half the time a player loses their turn.
Sketch what this spinner might look like.
Skip Space
Lose Turn
Now simulate what would happen in one player spun the spinner ten times.
Record your results:
Based on your results, what is the experimental probability that a player loses their turn?
What other device could be used to simulate this situation? Why?
Nov 29­10:13 AM
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At a Las Vegas Casino, one of the black jack dealers claims that the house only wins 1 out of every 10 games.
Despite the outrageousness of this claim, how could you simulate this probability without playing a hand of black jack (Since it's illegal for you!)
1) Flip a coin, in it is Heads the Black Jack Dealer wins. If it is Tails You win
2) Use a bag of 20 marbles. There are 2 black marbles and 18 red. If you pull out a black marble, the dealer wins. If you pull out a red marble, you win.
3) Use a regular deck of cards. If you pull out a red card the dealer wins, if you pull out a black card you win. 4) Use a random number generator using numbers 1­10. If a 5 comes up, the dealer wins. Any other number, you win
Nov 29­10:25 AM
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Now, Lets try Use a random number generator using numbers 1­10. If a 5 comes up, the dealer wins. Any other number, you win
Using your calculator run 20 trials of a random number generator and record your numbers here:
Nov 29­11:24 AM
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Journals
Nov 29­10:21 AM
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Homework: worksheet
Nov 29­10:18 AM
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