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A measure of the likelihood of a random phenomenon or chance behavior |
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As the number of repetitions of a probability experiment increases, the proportion with which a certain outcome is observed gets closer to the probability of the outcome |
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Any process with uncertain results that can be repeated |
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The collection of all possible outcomes |
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Any collection of outcomes from a probability experiment |
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1. Rules of probabilities |
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The probability of any event P(E) is 0<=P(E)<=1 |
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2. Rules of probabilities |
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The sum of the probabilities of all outcomes must equal 1 |
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The possible outcomes of a probability experiment and each outcome's probability |
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An event that has a low probability of occurring |
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3 methods for determining the probability of an event |
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1. Empirical method 2. Classical method 3. Subjective method |
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Probabilities using empirical method, P(E) ~ |
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Frequency of E/number of trials of experiment |
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Probabilities using classical method, P(E) = |
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Number of ways the E can occur/number of possible outcomes = N(E)/N(S) |
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When each outcome has the same probability of occurring |
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Listing the equally likely outcomes of the experiment with a tree |
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A probability obtained on the basis of personal judgment |
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