(a) Draw the game tree of the game.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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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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2. Box A contains one $2 coin and one $5 coin while Box B contains one $2 coin and
four $5 coins. Rosa consciously chooses one of the boxes and then randomly picks
one coin from the box. Cecilia, who knows the value of the coin chosen by Rosa but
does not know which box is chosen, needs to guess which box Rosa has chosen. If
Cecilia is correct, Rosa pays the amount of the coin to Cecilia. If Cecilia is wrong,
she pays $10 to Rosa.
(a) Draw the game tree of the game.
(b) Write down the strategies of Rosa and Cecilia.
(c) Write down the strategic form (game matrix) of the zero sum game.
(d) Solve the game.
Transcribed Image Text:2. Box A contains one $2 coin and one $5 coin while Box B contains one $2 coin and four $5 coins. Rosa consciously chooses one of the boxes and then randomly picks one coin from the box. Cecilia, who knows the value of the coin chosen by Rosa but does not know which box is chosen, needs to guess which box Rosa has chosen. If Cecilia is correct, Rosa pays the amount of the coin to Cecilia. If Cecilia is wrong, she pays $10 to Rosa. (a) Draw the game tree of the game. (b) Write down the strategies of Rosa and Cecilia. (c) Write down the strategic form (game matrix) of the zero sum game. (d) Solve the game.
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