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February 9, 2011

February 9, 2011. Write your homework in your agenda: Homework and Practice wkbk p.103 Open up to your behavior card. Open your PS wkbk to p. 74. Leave it on your desk. Set up for Cornell Notes. Here’s your Warm-Up …. Probability.

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February 9, 2011

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  1. February 9, 2011 • Write your homework in your agenda: Homework and Practice wkbk p.103 • Open up to your behavior card. • Open your PS wkbk to p. 74. Leave it on your desk. • Set up for Cornell Notes. • Here’s your Warm-Up….

  2. Probability What are the odds that you’ll like this unit?

  3. Probability What am I Learning Today? How will I show that I learned it? Determine the theoretical probability of a given event using a ratio Predict the probability of an event through trials Distinguish between theoretical and experimental probability

  4. Vocabulary • Probability: The measure of how likely an event is to occur • Experimental Probability: The ratio of the number of times the event occurs to the total number of times the experiment is performed. • Theoretical Probability: The ratio of the number of equally likely outcomes in an event to the total number of possible outcomes.

  5. Probability describes how likely an event will occur. • How likely are the following events to occur: • There will be rush hour traffic • You will win the lottery • When flipping a coin, it’ll land on heads • Pigs will fly • On a number cube, there is a 50% chance of rolling a multiple of 2 and a 33.3% chance of rolling a multiple of 3. Is it more likely to roll a multiple of 2 or a multiple of 3? CERTAIN UNLIKELY EQUALLY LIKELY IMPOSSIBLE A multiple of 2

  6. February 10, 2011 • Write your homework in your agenda: Homework and Practice wkbk p.105 • Open up to your behavior card. • Open your HWP wkbk to p. 103. Leave it on your desk. • Set up for Cornell Notes. • Here’s your Warm-Up….

  7. Homework and Practice p. 103 • Green • 2 • 5/24 • 1/6 • clubs • diamonds • 1/2

  8. Questions Answers How are probabilities expressed? The ratio of the number of likely outcomes compared with the total number of outcomes possible. How is probability written? Probabilities are written as fractions or decimals from 0 to 1 or as percents from 0% to 100%. What is the symbol for probability? The probability of an event can be written as P(event). For Example: P(blue) means “the probability that blue will be the outcome.” How do I express experimental probability as a ratio? http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.STAT&ID2=AB.MATH.JR.STAT.PROB&lesson=html/video_interactives/probability/probabilitySmall.html

  9. 2 4 2 __ __ __ 9 9 3 Finding Experimental Probability Sandra spun the spinner several times and recorded the results in the table. 1. Find the experimental probability that the spinner will land on blue. 2. Find the experimental probability that the spinner will land on red. 3. Based on the experiment, what is the probability that the spinner will land on red or blue?

  10. Questions Answers How do I express theoretical probability as a ratio? http://www.learnalberta.ca/content/mesg/html/math6web/math6shell.html# What is the relationship between theoretical and experimental probability? The more experiments you perform, the closer to theoretical probability you will get.

  11. 2 ways events can occur P(greater than 4)= 1 __ = 3 P(greater than 4)= _________________ ____________________ 6 possible outcomes 6 possible outcomes Finding Theoretical Probability What is the probability of rolling a number greater than 4 on a fair number cube? There are six possible outcomes when a fair number cube is rolled: 1, 2, 3, 4, 5, or 6. All are equally likely. There are 2 ways to roll a number greater than 4:5 or 6.

  12. P(blue)= 1 __ = 3 1 way event can occur P(blue)= _________________ __________________ 3 possible outcomes 3 possible outcomes Finding Theoretical Probability What is the probability of this fair spinner landing on blue? There are three possible outcomes when spinning this spinner: 1, 2, or 3. All are equally likely because the spinner is fair. There is only one way for the spinner to land on BLUE.

  13. Think and DiscussWith a neighbor, discuss the following: 1.How do theoretical and experimental probability compare? 2. Will you and you friend get the same experimental probability for an event if you perform the same experiment? The more times you repeat the experiment (increased number of trials), the closer your experimental probability gets to theoretical probability. Not necessarily. Although the theoretical probability remains constant, the experimental results will likely show some variation.

  14. February 11, 2011 • Write your homework in your agenda: Review notes on symmetry and probability for QUIZ on Monday • Open up to your behavior card. 3) Grab a Computation Challenge, keep it face down and put your name on the back. 4) Open your HWP wkbk to p. 105. Leave it on your desk. 5) Let’s practice with probability.

  15. Homework and Practice p. 105 • 3/5 10) 1/2 • 1/5 11) 1/3 • 1/5 12) 1/2 • 2/5 13) • 4/9 • 1/3 • 2/9 • 7/9 14) 25% • 1/6 The experimental probability, 40%, is less than the theoretical probability, 50%.

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