Suppose that P(ω) is a probability distribution on a discrete sample space Ω. Let B ⊂ Ω be an event with P(B) > 0. Show that φB(ω) = P(ω)/P(B) is a probability distribution on B.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section11.9: Independent And Dependent Events
Problem 17E
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Suppose that P(ω) is a probability distribution on a discrete sample space Ω. Let B ⊂ Ω be an event with P(B) > 0. Show that φB(ω) = P(ω)/P(B) is a probability distribution on B.

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