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### Calculating probabilities

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Intermediate Mathematics - Calculating probabilities

Calculating probabilities

The probability distribution of a hypergeometric variable is a
hypergeometric probability distribution. The distribution is given by
listing all possible values of the variable with their probabilities.

Remember that, for a probability distribution, the total probability is
always 1.

A box contains nine identical batteries, except that there are six good
batteries and three defective batteries. A sample of two batteries is drawn
from the box. X is the number of good batteries in this sample. List all
possible values of X. Write out all possible samples of two selections and
the range of good and defective batteries with their probabilities.

Be careful! The probabilities for the second selection depend on whether
the first selection was a good battery or a defective one.

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