# math statistics

A machine has 9 identical components that function independently. The probability that a component will fail is 0.2. The machine will stop working if 1 or 2 components fail. Find the probability that the machine will be fail?

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1. Either-or probabilities are found by adding the individual probabilities.

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

P(1 fail) = .2 * .98^8 = ?

P(2 fail) = .2^2 * .98^7 = ?

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posted by PsyDAG
2. Sorry, I gave you the answer to not failing. Subtract the answer to above from 1.00.

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posted by PsyDAG
3. Ignore my second post.

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posted by PsyDAG

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