Two diseases A and B are spread in a certain population. It is known that 10% of the persons in this population will contract disease A, 15% will contract disease B, and 3% persons will contract both diseases. We choose a person randomly in this population. What is the probability that this person will contract both diseases given that the person has contracted at least one of the two diseases?
A) 0.136
B) 0.280
C) 0.120
D) 0.220
E) 0.313