Review of Basic Probability Rules
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
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| show | Probability is a measure of the likelihood of a random phenomenon or chance behavior. Probability describes the long-term proportion with which a certain outcome will occur in situations with short-term uncertainty.
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| show | 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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| show | In probability, an experiment is any process that can be repeated in which the results are uncertain.
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| What is a Sample Space? | show 🗑
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| show | An event is any collection of outcomes from a probability experiment. An event may consist of one outcome or more than one outcome.
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| In order to be a Probability Model, what is required? | show 🗑
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| What is the probability of an impossible event? | show 🗑
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| show | If an event is a certainty, the probability of the event is 1.
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| Given S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and E ={2, 3, 5}, what is P(E)? | show 🗑
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| show | The probability of event E, using the Empirical method, is approximately the number of times event E is observed, divided by the number of repetitions of the experiment. That is, P(E) ≈ (Frequency of E)/(Number of repetitions of the experiment)
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| What does it mean for two events to be "disjoint"? | show 🗑
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| show | If two events E and F are disjoint (or mutually exclusive), P(E or F) = P(E) + P(F).
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| show | In general, P(E or F) = P(E) + P(F) – P(E and F).
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| show | Let S denote the sample space of a probability experiment and let E denote an event. The complement of E, denoted EC, is the set of all outcomes in the sample space S that are not outcomes in the event E.
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| show | If E represents any event and EC represents the complement of E, then P(EC) = 1 – P(E)
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| show | Two events E and F are independent if the occurrence of event E in a probability experiment does not affect the probability of event F.
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| What do we mean by "dependent" events? | show 🗑
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| show | The notation P(F | E) is read “the probability of event F given event E”. It is the probability of an event F given the occurrence of the event E.
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| show | P(F | E) = P(E and F)/P(E) or P(F | E) = N(E and F)/N(E)
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| What is the Multiplication Rule for DEPENDENT events? | show 🗑
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| What is the Multiplication Rule for INDEPENDENT events? | show 🗑
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Created by:
wgriffin410
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