Captain Kirk and Mr. Spock are engaged in a 3-D backgammon ...

[penguins]

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)

Question 2

A famous hypnotist performs in Meany Hall before a crowd of 350 students and 180 non-students. The hypnotist knows from previous experience that one-half of the students and two-thirds of the non-students are hypnotizable. What is the probability that a randomly chosen person from the audience will be hypnotizable or will be a non-student?
 
  a. 0.330 c. 0.869
  b. 0.340 d. 0.670

[morganmarie791]

Answer to Question 1

B

Answer to Question 2

D