crocodile choose the same location, the chance of the crocodile catching the zebra is 90%. If they choose adjacent locations, this chance is 50%, and it is 0 in the other cases, that is, when the chosen locations are non-adjacent. Describe this situation as a zero-sum game, in which the crocodile is player I and his gain is given by the chance of capturing the zebra. write the matrix of game, find game value and optimal strategies..............

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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A zebra has four possible locations to cross the river; let's call them A, B, C, and D, arranged from north to south in that order. A crocodile can wait (without being detected) at one of these locations. If the zebra and the crocodile choose the same location, the chance of the crocodile catching the zebra is 90%. If they choose adjacent locations, this chance is 50%, and it is 0 in the other cases, that is, when the chosen locations are non-adjacent. Describe this situation as a zero-sum game, in which the crocodile is player I and his gain is given by the chance of capturing the zebra. write the matrix of game, find game value and optimal strategies..............
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