Transcription of Sample Space, Events and Probability
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Sample Space, Events and Probability
Sample Space, Events and ProbabilitySample Space and EventsThere are lots of phenomena in nature, like tossing a coin or tossing a die, whose outcomescannot be predicted with certainty in advance, but the set of all the possible outcomes is are what we callrandom phenomenaorrandom experiments. Probability theory is concernedwith such random phenomena or random a random experiment. The set of all the possible outcomes is called thesample spaceof the experiment and is usually denoted byS. Any subsetEof the Sample spaceSis called anevent. Here are some 1 Tossing a coin. The Sample space isS={H, T}.
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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