Solving problem N3645 Bayesian probability theory

3645. The QC controller receives products made by four workers. A total of 200 items arrived; of them: 10% made the first worker; 25% - the second; 15% - the third. The probability of marriage for the first worker is 0.1; the second is 0.2; the third - 0.15; fourth - 0.25. At random, the chosen product turned out to be without marriage. What is the probability that it is manufactured by the first worker?