Playing a Fair "Shell Game," the Probability of Winning the Game

question 14

Short Answer

Playing a fair "shell game," the probability of winning the game should be given by p =
.One person plays the game 50 times but only wins 7 times.Using n = 50,approximate P(X = 7)by using the normal approximation.

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Definitions:

Cognitive Dissonance

The emotional state that results from acting in ways that contradict one’s beliefs or other actions.

High IQ

A measurement indicating that an individual has cognitive abilities or intelligence significantly above the average for their age group.

Divergent Thinking

A cognitive strategy or methodology designed to foster innovative ideas by examining a wide range of possible solutions.

Collective Habits

The practices and behaviors that are common or shared among a group of people, forming a part of their collective identity.