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In a tennis game, Nole and his opponent Roger play simultaneously. Nole can choose to play right or left. Also, Roger can choose to play

In a tennis game, Nole and his opponent Roger play simultaneously. Nole can choose to play right or left. Also, Roger can choose to play right or left. If they both make the same choice, Roger wins. If they make different choices, Nole wins. This tennis game has:

a) Two Nash equilibria in pure strategies

b) Two Nash equilibria in mixed strategies

c) No Nash equilibrium in pure strategies

d) No Nash equlibrium in mixed strategies

e) A Nash equilibrium in which Nole always wins

f) A Nash equilibrium in which neither Nole nor Roger are sure to win

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