Update Probability.ipynb

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Peter Norvig
2023-06-09 12:29:07 -07:00
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"Laplace nailed it. To untangle a probability problem, all you have to do is define exactly what the cases are, and careful count the favorable and total cases. Let's be clear on our vocabulary words:\n",
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"\n",
"- **[Trial](https://en.wikipedia.org/wiki/Experiment_(probability_theory%29):**\n",
"- **[Trial](https://en.wikipedia.org/wiki/Experiment_%28probability_theory%29):**\n",
" A single occurrence with an outcome that is uncertain until we observe it. \n",
" <br>*For example, rolling a single die.*\n",
"- **[Outcome](https://en.wikipedia.org/wiki/Outcome_(probability%29):**\n",
"- **[Outcome](https://en.wikipedia.org/wiki/Outcome_%28probability%29):**\n",
" A possible result of a trial; one particular state of the world. What Laplace calls a **case.**\n",
" <br>*For example:* `4`.\n",
"- **[Sample Space](https://en.wikipedia.org/wiki/Sample_space):**\n",
" The set of all possible outcomes for the trial. \n",
" <br>*For example,* `{1, 2, 3, 4, 5, 6}`.\n",
"- **[Event](https://en.wikipedia.org/wiki/Event_(probability_theory%29):**\n",
"- **[Event](https://en.wikipedia.org/wiki/Event_%28probability_theory%29):**\n",
" A subset of the sample space, a set of outcomes that together have some property we are interested in.\n",
" <br>*For example, the event \"even die roll\" is the set of outcomes* `{2, 4, 6}`. \n",
"- **[Probability](https://en.wikipedia.org/wiki/Probability_theory):**\n",