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For any event E, we refer to P(E) as the probability of E. Here are some examples. Example 8 Tossing a fair coin. In this case, the probability measure is given by P(H) = P(T) = 1 2. If the coin is not fair, the probability measure will be di erent. Example 9 Tossing a fair die. In this case, the probability measure is given by P(1) = P(2 ...

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• The probability measure P can be simply defined by first assigning probabilities to outcomes, i.e., elementary events {ω}, such that: X P({ω}) = 1 • The probability of any other event A(by the additivity axiom) is simply P(A) = X ω∈A P({ω}) EE 178/278A: Basic Probability Page 1–15 • Examples: For the coin flipping experiment ...

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