Finite math In a past presidential election, it was estimated that the probability that the Republican candidate would be elected was 5/7, and therefore the probability that the Democratic candidate would be elected was 2/7 (the two Independent candidates were given no chance of being elected). It was also estimated that if the Republican candidate were elected, the probability that a conservative, moderate, or liberal judge would be appointed to the Supreme Court (one retirement was expected during the presidential term) was 1/7, 1/7, and 5/7, respectively. Of the Democratic candidate were elected, the probabilities that a conservative, moderate, or liberal judge would be appointed to the Supreme Court would be 1/3, 1/6, and 1/2, respectively. A conservative judge was appointed to the Supreme Court during the presidential term. What is the probability that the Democratic candidate was elected