Robin and Cathy Play a Game of Matching Fingers

question 181

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

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Definitions:

Sampling Distribution

The distribution of probabilities for a statistic obtained from a random sample.

Sample Sizes

The number of observations or data points collected in a sample from a larger population for the purpose of statistical analysis.

Approximately Normal

Describes a distribution that closely follows a normal distribution curve, often used as an assumption in parametric statistical tests.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values in the data set deviate from the mean.