Probability Basic Terminology - Basic Terminologies in...

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1 Basic Terminologies in Probability Experiment Sample Space Events Probability of an Event
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2 Reading Assignment Leon-Garcia Chapter 1 and 2.
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3 Experiment [ ] Experiment. Outcome. The outcome varies each time we repeat the experiment. Sample Space - the set of all possible outcomes. the set of outcomes which meet our requirement. Probability of E s S sS A AS PA [ ] the event 0 1 ≤≤
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4 Example - Experiment E : Toss a (fair, unbiased) coin twice and record the results in sequence. The sample space: { , , ,} S HH HT TH TT = An event is a subset of the sample space. If we define the event A as ‘head first,’ then { A HH HT = Probability of an event: [ ] [ ] [ ] 1/2 P A P HH P HT = += If we define A as ‘no head,’ then {} A TT = and [ ] 1/4 P A P TT =
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5 Example - Experiment E : Toss two coins and record the result. The sample space: { , ,} S HH HT TT = . If we define the event A as ‘one head,’ then {} A HT = and [ ] [ ] 1/2 P A P HT =
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6 Meaning of Probability unbiased or fair coin: [ ] [ ] 1/ 2 PH PT =
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7 Simple Sample Space
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Probability Basic Terminology - Basic Terminologies in...

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