DICE AND PROBABILITY LAB
Learning outcome:
Upon completion, students will be able to… * Compute experimental and theoretical probabilities using basic laws of probability.
Scoring/Grading Rubric: * Part 1: 5 points * Part 2: 5 points * Part 3: 22 points (2 per sum of 2-12) * Part 4: 5 points * Part 5: 5 points * Part 6: 38 points (4 per sum of 4-12, 2 per sum of 3) * Part 7: 10 points * Part 8: 10 points
Introduction:
While it is fairly simple to understand the outcomes of a single die roll, the outcomes when rolling two dice are a little more complicated. The goal of this lab is to get a better understanding of these outcomes and the probabilities that go with them. We will examine and
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(10 pts) How do your experimental probabilities compare to the theoretical probabilities of rolling different sums on a pair of dice? Did you have the same probabilities? Was your data relatively close?
They had different probabilities, however they were relatively close to each other.
8. (10 pts) How do you think the experimental probabilities would compare to the theoretical probabilities if we rolled the pair of dice 500 times? 1,000 times? 1,000,000 times?
I believe they would become closer and closer to the theoretical probabilities as we rolled more
Experimental probability is the fraction of times an event actually occurs and theoretical probability is the fraction of times we would expect an event to occur. I did not know these terms until after I read the article. The article shown me that there are so many ways to approach probability. It gave me an idea of using the line chart as an assessment of understanding probability. The number cube game gave me an idea of teaching probability by playing Yahtzee
Donnelly begins his presentation with a thought experiment involving the tossing of a coin and predicts the possibility of a certain series of results. When predicting the possibility of heads, tails, heads (HTH) or heads, tails, tails (HTT), I, like most of the audience, believed that the chance of either possibility was equal. However, I did not take into account the possibility of overlap and how HTH was more like to be achieved in an overlap. I also did not catch that the HTH could appear in clumps because of the overlapping (the third "H" in HTH is also the first "H" in the next HTH). There was also the
4. Give the probability for the following based on the MINITAB calculations with the probability of a success being ½. (Complete sentence not necessary)
Maximum Possible Points: The maximum number of points you may earn for this assignment is 50.
14, and 15)estion worth 2 points, 1 hour time limit (chapters 1,ue units EXCEPT:The U.S. Department of Agriculture estimates that the yearly yield of limes per acre is distributed as follows: Yield, bushels per acre
M2 through M8 by the probability values calculated in column I, that is, formulas for
a. What is the probability of a score falling between a raw score of 70 and 80?
considering the degree of precision required and both quantitative and qualitative factors, Amanda believes that a difference between the expected amount
Question #1 is worth 5 points – all others are worth 1 point each. Either type your answers directly onto THIS sheet OR create a new file and number your answers 1, 2, 3, etc.
Dice Throw, while it can be calculated using math to project the probability of getting a particular number.
Example: Patrick flipped a number cube 40 times. A 5 appeared 10 times. The experimental probability of rolling a 5 is 10 out of 40 or 25%
Were your hypotheses right or wrong? Tell how those hypotheses would have to be modified in another experiment.
4 92 69 30 30 22 21 27 20 32 67 73 53 26 22 16 24 35 23 24 45 70 64 61 56 40 25 26 39 53 47 25 31 27 14
Attached is the detailed chart showing the interplay between these two probabilities (Figure 3). It also shows two nuanced inputs i.e.