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Using the hypergeometric distribution, there is a 0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.
<h3>What is the hypergeometric distribution formula?</h3>The formula is:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
For this problem, we have that Ryan will win if he takes 3 Paper cards from a set of 8(5 paper and 3 scissors), hence the parameters are given as follows:
N = 8, k = 5, n = 3, x = 3.
Hence the probability is given by:
0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.
More can be learned about the hypergeometric distribution at brainly.com/question/24826394
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