Captain Kirk and Mr

question 5

Multiple Choice

Captain Kirk and Mr. Spock are engaged in a 3-D backgammon playoff, a game employing 6 dice. Kirk asks Spock the probability of rolling the dice and observing 6 sixes. Assume the dice are not biased. Spock's correct a priori reply is _________.

• A) "Insufficient data, Captain."
• B) "One-sixth to the sixth power, Sir." Translation: (1/6) 6
• C) "One-thirtysixth, Sir."
• D) "One-thirtysix to the sixth power, Sir." (1/36) 6
• E) "The probability is equal to (1/6)X(1/5)X(1/4)X(1/3)X (1/2)X(1/1), Sir." (1/720)

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Definitions:

Parallel Rows

Lines or sequences of objects placed side by side, keeping the same distance continuously between them.

Retinal Disparity

The slight difference in the visual images that the two eyes perceive, which is important for depth perception.

Relative Luminance

The brightness of a color relative to a standard, often used in digital design and accessibility.

Perceptual Constancy

The brain's ability to recognize that objects are unchanging (in shape, size, brightness, or color) despite shifts in environment or perspective.