Use probability to make fair decisions, such as lotteries or random selection.
Identify the hidden bias in a proposed random selection method by comparing probabilities
Problem
Compare each student’s number of entries in the name draw and identify how the duplicated name changes that student’s selection probability.
Big Picture
What this problem is really about
Equally likely slips can still create unequal student chances when names appear different numbers of times. We’ll count each student’s entries, include the duplicate in the total, form probabilities from favorable slips over all slips, and compare ordinary and duplicated-name chances to expose any bias.
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