An experiment consists of tossing a coin twice and observing the sequence of coin tosses. The sample
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An experiment consists of tossing a coin twice and observing the sequence of coin tosses. The sample space consists of four outcomes ξ1 = (H, H), ξ2 (H, T), ξ3 (T, H), and ξ4 (T, T). Suppose the coin is not evenly weighted such that we expect a heads to occur more often than tails and as a result, we assign the following probabilities to each of the four outcomes:
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(a) Does this probability assignment satisfy the three axioms of probability?
(b) Given this probability assignment, what is Pr (first toss is head)?
(c) Given this probability assignment, what is Pr (Second toss is head)?
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a Yes because every event have a positive probability the PrS 1 ...View the full answer
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Related Book For 
Probability and Random Processes With Applications to Signal Processing and Communications
ISBN: 978-0123869814
2nd edition
Authors: Scott Miller, Donald Childers
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