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Chapter 8 - Applying Probability. 4 – Simulations. Simulations. Most real life situations do not involve spinners, tossing coins or rolling dice....but they’re still useful. Real life can often be modeled using these materials. What Material Could You Use If:.
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Chapter 8- Applying Probability 4 – Simulations
Simulations • Most real life situations do not involve spinners, • tossing coins or rolling dice....but they’re still useful. • Real life can often be modeled using these materials.
What Material Could You Use If: • There are 2 outcomes? Coin toss • 3 outcomes? Die – group numbers Cards – suit • 4 outcomes? • 6 outcomes? Dice • 13 outcomes? Cards – number • 52 outcomes? Cards – specific card
How Many Trials Should You Do? • Consider the importance of the data. • Consider the number of outcomes: – If a situation only has 2 outcomes, 1000 trials is ridiculous – If a situation has 52 outcomes, 10 trials won’t work
Example #1 • A ‘scratch and win’ promotion at a store allows you to scratch of one box on a card with 13 boxes. A prize is behind one of the boxes. – What is the theoretical probability that you guess the correct box? – What experiment could you design to simulate this experiment? – How many trials would you conduct?
Example #2 • Arriving to a stop sign there is a 1 in 3 chance that there is another car there before you. What is the chance that you get to go immediately? – What is the theoretical probability? – What experiment could you use? – How many trials would you do?