(A) If the animal is initially in the woods, what is the probability that it is in the woods on the next three observations? (B) If the animal is initially in the woods, what is the probability that it is in the meadow on the next three observations?

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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Redo exercises 17 and 18 in section 8.1 of your textbook, about the small animal who lives in an area with woods and meadows, using the following data:

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.

 

(A) If the animal is initially in the woods, what is the probability that it is in the woods on the next three observations?

(B) If the animal is initially in the woods, what is the probability that it is in the meadow on the next three observations?

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