Question

3. On a given evening, two roommates, roommate A and roommate B, are arguing over who should control the television remote. Roommate A suggests a game of rock-paper-scissors to settle the dispute.

It's the first time that the roommates have played each other in rock-paper-scissors, so there is no history of the choices made by either roommate. However, roommate B thinks that the three possibilities for his roommate's choice of hand signals are not equally likely. Based on his roommate's behavior in other similar games, roommate B believes that there is a .56 probability that his roommate will choose rock and a .33 probability that his roommate will choose scissors.
The probabilities are assigned using the
a. empirical method
b. subjective method
c. theoretical method
I think it is B, subjective
Suppose that roommate B's probability assignments are correct. What can you say about P(Pa), the probability that roommate A chooses paper? Check all that apply
a. P(Pa) = .31
b. 1 ≤ P(Pa) ≤ 2
c. 0 ≤ P(Pa) ≤ 1
d. P(Pa) = .13
e. P(Pa) = .11
assume roommate B's probability assignments are correct, he would like to use the hand signal with the highest probability of winning the game. What should he use?
Rock?