If the animal is in the woods on one observation, then it is three times as likely to be in the woods as the meadows on the next observation. If the animal is in the meadows on one observation, then it is four times as likely to be in the meadows as the woods on the next observation. Assume that state 1 is being in the meadows and that state 2 is being in the woods Question: If the animal is in the woods on the first observation, what is the probability that it is in the woods on fourth observation? (Express your answer either as a rational fraction or as a decimal fraction rounded to 4 decimal places.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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If the animal is in the woods on one observation, then it is three times as likely to be in the woods as the meadows on the next observation. If the animal is in the meadows on one observation, then it is four times as likely to be in the meadows as the woods on the next observation.

Assume that state 1 is being in the meadows and that state 2 is being in the woods

Question: If the animal is in the woods on the first observation, what is the probability that it is in the woods on fourth observation? (Express your answer either as a rational fraction or as a decimal fraction rounded to 4 decimal places.)

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