Check whether for 3 arbitrary random events (A, B), and (C) the following constellations of probabilities can

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Check whether for 3 arbitrary random events $A, B$, and $C$ the following constellations of probabilities can be true:

(1) $P(A)=0.6, P(A \cap B)=0.2$, and $P(A \cap \bar{B})=0.5$,

(2) $P(A)=0.6, P(B)=0.4, P(A \cap B)=0$, and $P(A \cap B \cap C)=0.1$,

(3) $P(A \cup B \cup C)=0.68$ and $P(A \cap B)=P(A \cap C)=1$.

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Applied Probability And Stochastic Processes

ISBN: 9780367658496

2nd Edition

Authors: Frank Beichelt

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Question Posted: Apr 26, 2024 04:00 PM

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Check whether for 3 arbitrary random events (A, B), and (C) the following constellations of probabilities can

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Applied Probability And Stochastic Processes

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