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# 4 6 Probablitiy

## by taco40 on Sep 18, 2008

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## 4 6 ProbablitiyPresentation Transcript

• Review of Probability and Statistics Algebra I Chapter 4.3
• Math Warm-Up
• Write each decimal as a fraction and percent.
• 3 / 4
• 7/10
• 2/9
• 125/300
• .75 or 75%
• .70 or 70%
• .222 or 22.2%
• 5/12=0.417 or 41.7%
• Probability answers the question: How likely will the event occur?
• Probability
• Can be measured from 0 – 100%
• Most often is measured in fractions.
• Experimental vs. Theoretical Probability
• Experiments
• Are done many times
• Can sometimes have unexpected results
• Sometimes work the way you expect them to.
• Related to science and math
• Theory
• Expectations
• Potential results
• Experimental Probability
• Shake dice and count how many of each number
• Spin a spinner and count how many times it falls on red, blue, or green
• Flip a coin and record the results.
• Theoretical Probability
• Use the number of possible outcomes divided by the total number of outcomes.
• Count
• Predict
• How may possible outcomes?
• How many times could an even number be rolled?
3 out of 6
• 3 out of 6
• As a fraction:
• One chance in every two is the theoretical probability of rolling an even number.
• P (4)=
• How many fours on one cube?
• … out of how many numbers on a rolling cube?
• 1/6
• Sample set
• Two Coins
• H, H
• H, T
• T, H
• T, T
• Sample set
• Three Coins
• H, H, H
• H, H, T
• H, T, T
• H, T, H
• T, H, H
• T, H, T
• T. T. H
• T, T. T
• P (1h and 1t) =?
• Matching outcomes (h,t) (t,h)
• Two chances in four
• 1 chance in every two.
• 50 % = ½
• Sample Set Two Dice
• ( 1, 1); ( 1, 2); ( 1, 3); ( 1, 4); ( 1, 5); ( 1, 6)
• ( 2, 1); ( 2, 2); ( 2, 3); ( 2, 4); ( 2, 5); ( 2, 6)
• ( 3, 1); ( 3, 2); ( 3, 3); ( 3, 4); ( 3, 5); ( 3, 6)
• ( 4, 1); ( 4, 2); ( 4, 3); ( 4, 4); ( 4, 5); ( 4, 6)
• ( 5, 1); ( 5, 2); ( 5, 3); ( 5, 4); ( 5, 5); ( 5, 6)
• ( 6, 1); ( 6, 2); ( 6, 3); ( 6, 4); ( 6, 5); ( 6, 6)
• ( 1, 1); ( 1, 2); ( 1, 3); ( 1, 4); ( 1, 5); ( 1, 6)
• ( 2, 1); ( 2, 2); ( 2, 3); ( 2, 4); ( 2, 5); ( 2, 6)
• ( 3, 1); ( 3, 2); ( 3, 3); ( 3, 4); ( 3, 5); ( 3, 6)
• ( 4, 1); ( 4, 2); ( 4, 3); ( 4, 4); ( 4, 5); ( 4, 6)
• ( 5, 1); ( 5, 2); ( 5, 3); ( 5, 4); ( 5, 5); ( 5, 6)
• ( 6, 1); ( 6, 2); ( 6, 3); ( 6, 4); ( 6, 5); ( 6, 6)
• What is the probability of shaking a one?
• What is the probability of shaking doubles?
• p (even, even) =
• p (3, odd) =
• p (odd, odd) =
• p (even, even) =
• p (total >5) =
• p (total < 7) =
Use two dice
• 6 red buttons and 3 blue buttons
• 9 buttons are placed into a bag What is the chance of blindly drawing a red button?
• Six favorable outcomes out of nine buttons
• From the bag
• What is the chance of pulling out a blue button?
• 3 out of 9
• When figuring theoretical probability
• Find the number of favorable outcomes
• Find the number of possible outcomes
• Make a fraction.
• Put the fraction in lowest terms
• Divide for the decimal
• Move 2 places for %
• Assignment
• Pg 183-184:
• 12-17; 18-27