Assume $$X_i$$, $$i = 1, \dots, 1000$$ are i.i.d. Bernoulli random variables with success probability (mean) $$p = 0.5$$. Suppose you observe (the sufficient statistic) $$\sum_{i = 1}^{1000}X_i = 900$$. What is the probability that the coin is fair?
From a frequentist perspective the question is either nonsensical or the answer is "one". If you're Bayesian maybe you want to assign a prior distribution to $$p$$, in which case the question makes sense. The fundamental difference between my example and the question is that $$p$$ is unknown in the question, and the question disguises the fact that the actual randomness is whether a (presumably randomly sampled) person answers that the car is blue or not. The car's color is not randomly assigned and thus it's uninteresting to speak of the probability of it being blue from a frequentist perspective.