Show that the probability that an event A or an event B or both will occur is given by the formula P(AUB) = P(A)+P(B)–P(AnB), and specialise this formula for the case (a) when A, B are mutually exclusive events and for the case (b) where A, B are statistically independent events. %3D Find the probabilities P(A), P(B) when A, B are statistically independent events such that P(B) = 2P(A) and P(AU B) = 5/8. %3D

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Show that the probability that an event A or an event B or both will occur
is given by the formula P(AUB) = P(A)+P(B)– P(AnB), and specialise
this formula for the case (a) when A, B are mutually exclusive events and
for the case (b) where A, B are statistically independent events.
Find the probabilities P(A), P(B) when A, B are statistically independent
events such that P(B) = 2P(A) and P(AU B) = 5/8.
Transcribed Image Text:Show that the probability that an event A or an event B or both will occur is given by the formula P(AUB) = P(A)+P(B)– P(AnB), and specialise this formula for the case (a) when A, B are mutually exclusive events and for the case (b) where A, B are statistically independent events. Find the probabilities P(A), P(B) when A, B are statistically independent events such that P(B) = 2P(A) and P(AU B) = 5/8.
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