STT 201 Lecture Notes - Lecture 54: Venn Diagram, Sample Space

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Gambler"s fallacy, or "law of averages" psychological prejudice that assumes observations will behave as expected much sooner than necessary. In other words, thinking an event is "due" or "not due" Playing a different lottery number than last week"s winning number because the chances it would come up twice in a row are so small. Building your home in the exact spot that a meteor struck reasoning it would almost impossible for a meteor to strike in the same place twice. A man brings a bomb on a plane. he reasons "the chances of there being a bomb on a plane are so small, so the chances of there being another one are almost zero" Independence: two events a and b are independent if p(a and b)=p(a)*p(b) Example: p(a)= . 3 p(b)= . 5 p(a and b)= . 10. 15 does not equal . 10 so a and b are not independent.

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