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Experimental and Theoretical Probability Project

This project by Courtney Claiborne delves into the principles of experimental and theoretical probability using a number cube and colored markers. It aims to illuminate the distinction between theoretical predictions and experimental outcomes through practical activities. By rolling a number cube, drawing markers from a bag, and calculating outcomes, students gain insight into fundamental concepts such as the sample space and the Fundamental Counting Principle (FCP). The project includes engaging questions that prompt critical thinking about probability scenarios.

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Experimental and Theoretical Probability Project

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  1. Experimental and Theoretical Probability Project By: Courtney Claiborne

  2. Materials • 1 number cube • 4 highlighters 1 pink, 1 orange, 1 blue, 1 yellow • 1 paper bag

  3. Yellow Yellow 4 1 Blue Blue Pink Pink Orange Orange Yellow Yellow 2 5 Blue Blue Pink Pink Orange Orange Theoretical Probability Yellow 3 Yellow 6 Blue Blue Pink Pink orange Orange

  4. Sample Space 1,y 1,b 1,p 1,o 3,y 3,b 3,p 3,o 5,y 5,b 5,p 5,o 6*4=24 outcomes 2,y 2,b 2,p 2,o 4,y 4,b 4,p 4,o 6,y 6,b 6,p 6,o

  5. Experimental Probability

  6. Questions 1 • What is the difference between theoretical and experimental probability? Theoretical probability is what should happen Experimental probability is what happened

  7. Question 2 • How many possible outcomes are there when I roll a number cube and draw 4 markers? 6*4=24 outcomes

  8. Question 3 • What is the FCP? It is when you multiply all the possible outcomes.

  9. Question 4 • What will happen if I include in my experiment flip a coin to my landing on heads? My number of outcomes will be greater.

  10. Question 5 • What is the probability of rolling a even on a number cube and drawing a blue and yellow out of a bag with 4 markers? 3/6 * 2/4= 6/24 simplest form is 1/4

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