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More generally, you could have any situation with two outcomes, which could be 0 or 1, or perhaps live or dead, or success and failure. It's conventional to use the terms "success" and "failure"; we'll denote these by 1 and 0 respectively. The sample space = {0,1}.

The possible events are , {0}, {1}, and {0,1}. Each of these is a subset of the sample space, and the

P() = 0 |

P({0}) = 1-p |

P({1}) = p |

P({0,1}) = 1 |

On to conditional probability.

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