Question 1118562
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Notice that the mathematical expectation for the random variable that  "we then pick"  is   {{{1/2}}} = 0.5.


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    It does not require special explanations, since it is OBVIOUS.
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Therefore, 


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(a)  If A chooses 0, then the best choice for B is to choose  {{{1/2}}} = 0.5.


(b)  The best choice for A (who starts each tour) is to choose  {{{1/2}}} = 0.5.


(c)  What is the best choice for the first player when the game is played among four players ?


     - Same as in n (b):  to choose {{{1/2}}} = 0.5.
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