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You ask 15 people to look through a keyhole, so they must use only one eye. In total, 12 of them look with their right

You ask 15 people to look through a keyhole, so they must use only one eye. In total, 12 of them look with their right eye and 3 of them look with their left eye. If it were equally likely that they would use either eye, what would the binomial probability be of this exact result? What would the binomial probability be of this result or of one more extreme (i.e., 12 of 15 or higher)?

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