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Two students play a zero-sum campus scavenger-hunt game. Row chooses U or
D, Column chooses
L or
R. Row's payoffs are
(U,L):3,
(U,R):-1,
(D,L):-3,
(D,R):1. In each case, Column's payoff equals 0 - Row's payoff (i.e., the sum of Row's and Column's payoff is always zero in each case). What probability of
U makes Column indifferent?