Question:
For the vacancy advertised in the newspaper, \(3000\) candidates submitted their applications. From the data it was revealed that two third of the total applicants were females and other were males. The selection for the job was done through a written test. The performance of the applicants indicates that the probability of a male getting a distinction in written test is \(0.4\) and that a female getting a distinction is \(0.35\). Find the probability that the candidate chosen at random will have a distinction in the written test.