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...

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.