Captain Kirk and Mr

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)