Shakira's concerts behave like a Markov chain. If the current concert gets cancelled, then there is an 80% chance that the next concert will be cancelled also. However, if the current concert does not get cancelled, then there is only a 60% chance that the next concert will be cancelled. What is the long-run probability that a concert will be cancelled?

Shakira's concerts behave like a Markov chain. If the current concert gets cancelled, then there is an 80% chance that the next concert will be cancelled also. However, if the current concert does not get cancelled, then there is only a 60% chance that the next concert will be cancelled. What is the long-run probability that a concert will be cancelled?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Shakira's concerts behave like a Markov chain. If the current concert gets cancelled, then there is an 90% chance that the next concert will be cancelled also. However, if the current concert does not get cancelled, then there is only a 50% chance that the next concert will be cancelled. What is the long-run probability that a concert will not be cancelled? a. 1/4 b. 1/10 c. 1/6 d. 1/2 e. 5/6 f. None of the others are correct
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Answer the following questions.
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