Bayes' rule politics There are two possible states: θ ∈ {θA, θB}. Voters cannot observe the realized state. There is an incumbent politician who knows the true state. The politician can be of two types: g or b. 1.1 Suppose that everybody knows that a type g politi- cian says A if and only if θ = θA and a type b politician always says B. Using Bayes' rule, state what voters believe about the politician and the state if the politician says A.