Question: In a recent presidential election, it was estimated that the probability that the Republican candidate would be elected was 3/5 and therefore the probability that the Democratic candidate would be elected was 2/5 (the two Independent candidates were given little chance of being elected). It was also estimated that if the Republican candidate were elected, then the probability that research for a new manned bomber would continue was 4/5. But if the Democratic candidate were successful, then the probability that the research would continue was 3/10. Research was terminated shortly after the successful presidential candidate took office. What is the probability that the Republican candidate won that election?