Robin and Cathy Play a Game of Matching Fingers

Multiple Choice

Robin and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1,2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Robin receives an amount in dollars equal to that sum from Cathy. If the sum of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Robin. ​
Find the minimax and maximin strategies for Robin and Cathy, respectively.
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A) Maximin strategy for Robin is to extend 1,2 or 3 fingers whereas minimax strategy for Cathy is to extend 1 or 2 fingers
B) Maximin strategy for Robin is to extend 1,2 or 3 fingers whereas minimax strategy for Cathy is to extend 1 finger
C) Maximin strategy for Robin is to extend 1 finger whereas minimax strategy for Cathy is to extend 1 finger
D) Maximin strategy for Robin is to extend 1 finger whereas minimax strategy for Cathy is to extend 1 or 2 fingers
E) Maximin strategy for Robin is to extend 1 or 2 fingers whereas minimax strategy for Cathy is to extend 1 finger