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Chapter 7
by J Graham
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Chapter 7

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Section 7.7

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Confusion of the Inverse

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Coincidences

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The Gambler's Fallacy

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Section 7.1

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Random Circumstance - One in which the outcome is unpredictable.

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Probability - is a number between 0 and 1 that is assigned to a possible outcome of a random circumstance.

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Section 7.5

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Hints & Advice

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Steps for Finding Probabilites

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Two Way Tables

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Tree Diagrams

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Section 7.3

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Assigning Probabilities to Simple Events

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Complementary Events

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Mutually Exclusive Events

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Independent and Dependent Events

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Conditional Probabilites

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Section 7.4

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Rule One

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Rule Two

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Rule Three

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Rule Four

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Sampling with and Without Replacement

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Section 7.2

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The Relatice Frequency Interpretation of Probability situations

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The Personal Probability Interpretation

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Section 7.6

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Simulation

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A coincidence is a surprising concurrence of events, perceived as meaningfully related, with no apparent causal connection.

One event is the complement of another event if the two events do not contain any of the same simple events and together they cover the entire sample space. For an event A, the notation A^c represents the complement of A.

Two events are mutually exclusive they do not contain any of the same simple events (outcomes). The term disjoint is also used in the same regard.

The event B, given that the event A occurs, is the long-run relative frequency with which event B occurs when circumstances are such that a also occurs. This probability is written as P(B|A)

Larger samples do not require replacement, as the sample size would make the outcome insigificant.