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Theoretical Probability . Ms. Jenni Storck 6 th grade math. Things you need to know…. How to take a screen shot How to click on links How to use the presentation quiz Be sure to utilize a screen reader if you do not want to read all of the info on the websites! . Standards. NC Objectives
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Theoretical Probability Ms. Jenni Storck 6th grade math
Things you need to know… • How to take a screen shot • How to click on links • How to use the presentation quiz • Be sure to utilize a screen reader if you do not want to read all of the info on the websites!
Standards NC Objectives 4.04 Determine and compare experimental and theoretical probabilities for simple and compound events. 4.02 Use a sample space to determine the probability of an event.
What is probability? The measure of how likely an event is to occur Remember that experimental probability is when we are actually doing the experiment. ex) If Jason was shooting baskets and made 12 and missed 4, what is the experimental probability that he will make the next one? actual outcome/trials12/16or ¾ Review Knowledge
Practice • What is the theoretical probability of rolling a 5 on a fair number cube? How many 5’s are on the die? How many options does a die have? 1 6 There is one 5 and there are 6 options, therefore the theoretical probability of rolling a 5 is 1/6.
Practice • What is the theoretical probability of rolling a number less than 4? How many number’s less than 4 are on the die? How many options does a die have? 3 6 There are 3 numbers less than 4 and there are 6 options, therefore the theoretical probability of rolling less than 4 is 3/6 which reduces to 1/2.
Practice • What is the theoretical probability of spinning blue?
Practice • What is the theoretical probability of not spinning red?
Application • Play the following game to explore how theoretical probability and experimental probability are different. • http://www.shodor.org/interactivate/activities/AdjustableSpinner/?version=skip1&browser=unknown • Click to the next page for instructions and questions.
Spinner Game • Press spin to spin the spinner. • Check the chart on the left for theoretical and experimental results. • Press +1 to add more sections to your circle
Spinner Questions • What happens to the theoretical probability the more times you spin? What happens to the experimental? • What happens to theoretical when you add more sectors or sections of the circle? • What would you say is more “fair” theoretical or experimental probability?
Self Assessment • Please take the following short quiz. • http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-02-833050-1&chapter=13&lesson=1 • Email me a screen shot when you get all 5 correct. • Pick one question and explain your answer in the discussion board.
Assignment • Create an event that would have probability within it. For example a day at the fair: spinning a wheel, tossing a coin for a prize, choosing a snack with your eyes closed. • Your event must have 5 different probabilities (experimental AND theoretical) within it. • Write out the description of your event (2-3 paragraphs), spelling counts! • Solve all 5 probabilities! • Due March 27, 09!
Due this week… • Theoretical Probability Project • Screen shot of quiz and discussion board posting about one question • Email Game Questions • Completion of Presentation Quiz • Happy Learning!!!
A) 1 B) 1/6 C) 1/3 D) 0 Submit Clear What is the theoretical probability of rolling a 6 on a fair number cube? Think carefully! Correct! How many sides are a 6? How many sides are there? This means there is NO chance of rolling a 6! Correct - Click anywhere to continue Incorrect - Click anywhere to continue Your answer: You answered this correctly! You did not answer this question completely You must answer the question before continuing The correct answer is:
A) 1 B) 1/4 C) 3/4 D) 1/2 Submit Clear If you have a spinner with 4 equal sections labeled red, green, blue and yellow, what is the probability of NOT spinning blue? Correct - Click anywhere to continue Incorrect - Click anywhere to continue Your answer: You answered this correctly! You did not answer this question completely You must answer the question before continuing The correct answer is:
A) True B) False Submit Clear The theoretical probability of flipping a coin and landing on heads is 1. Correct - Click anywhere to continue Incorrect - Click anywhere to continue Your answer: You answered this correctly! You did not answer this question completely You must answer the question before continuing The correct answer is:
A) 1/2 B) 1 C) 3/6 D) 1/4 Submit Clear What is the probability of rolling an even number on a fair number cube? Correct - Click anywhere to continue Incorrect - Click anywhere to continue Your answer: You answered this correctly! You did not answer this question completely You must answer the question before continuing The correct answer is:
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