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Chance and Data:
A Yahtzee experiment.
How likely is it to get 4 or 5 of…
Chance and Data:
A Yahtzee experiment.
How likely is it to get 4 or 5 of a kind in 3 attempts of rolling 5 dice?
Stage 3 Statistics and Probability Strand
(NESA, 2019)
Data 1 : uses appropriate methods to collect data and constructs, interprets and evaluates data displays, including dot plots, line graphs and two-way tables
Chance 1: students experiment and assign probability of between 0 and 1 as outcomes of their experiments
Mathematical language to be used includes “data”, “survey”, “tabulate”, “vertical axis”, “horizontal axis” and “dot plots” and for chance the language includes “chance”, “event”, “likelihood” and “probability”
The probability
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Students discuss how the overall results are more significant than their individual results. Eg. Students notice that some people got no 4 or 5 of a kind in 10 rolls and some people got 3 yahtzees in their 10 turns.
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Look at the theoretical probability of getting a yahtzee (Taylor, 2019) and discuss why our experiment may not have reached theoretical probability (sample size)
The data
Students tally their results as either 4 of a kind, 5 of a kind or neither.
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Authentic question: Students have been playing Yahtzee and came up with this question as they played the game.
definition of the experiment stays true to the rules of the actual game except that students must "go for" 4 or 5 of a kind.
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Data collection and analysis cycle (Siemon et al, 2015)
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