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Discrete Probability Distribution of Pills

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This is a hypergeometric, geometric, negative binomial random variable, or Poisson.

A smuggler places 3 narcotic tablets in a bottle of 21 vitamin pills for a total of 24 pills. If U.S. customs tests 2 pills at random what is the probability that at least 1 narcotic pill will be found?

The professor gave the answer as 24%, I am just unclear on how to arrive at that.

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This solution provides the steps for the given probability distribution problem.

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Let x be the random variable that denotes the number of narcotic pills found
Then x ...

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