A developer from Marketing Experts Ltd designed a new technique which is being tested.The technique will be implemented if it passes a test.The developer is likely to be given a new position if the technique is implemented.

Using N to represent the new position received, P represents pass test, and Pc represents fail test. The probability of a new position is 0.55. The probability of pass test given a new position is 0.75, and that of pass test given no new position is 0.25.

Based on the given information, what is the probability that the developer will be given a new position given that the technique passes the test?(8 Marks)