Question: Big Game is the annual football rivalry game between Stanford University and UC Berkeley. Jack assigns a probability of 0.6 that Stanford will beat UC Berkeley in Big Game 20XX. Kim believes that the probability is actually 0.4 and challenges Jack to a bet. If UC Berkeley wins, Jack pays Kim $100 and if Stanford wins, Kim pays Jack $100.
Which of the following statements is valid?
a. If Kim wins the bet, we know that she made a good decision.
b. The objective probability that Stanford wins the game is between 0.4 and 0.6.
c. The clairvoyant's probability that Stanford will win Big Game 20XX is greater than 0 and less than 1.
d. None of the preceding statements is valid.