Mbalisikerc

2022-07-16

Probability - discrete math
In a particular group of people, 10 people are right handed and 4 are left handed. If 5 of these people are chosen at random, What is the probability that exactly 1 left handed person is selected?

escobamesmo

Expert

Step 1
This is a hypergeometric distribution. We begin with choosing a single left handed person. This is independent of choosing four right-handed people, so by rule of product we multiply. We divide by the number of ways to select 5 people.
Step 2
$\frac{\left(\genfrac{}{}{0}{}{4}{1}\right)\left(\genfrac{}{}{0}{}{6}{4}\right)}{\left(\genfrac{}{}{0}{}{10}{5}\right)}$

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