Study the DNA profiles obtained as a result of DNA fingerprinting of a child 'X' and three individuals 1, 2 and 3. Which one of the following options shows the possible p ?

The correct option is 1 and 3.

Explanation:
In DNA fingerprinting, a child inherits half of their DNA from their mother and the other half from their father. Therefore, every DNA band present in the child's DNA profile (Child 'X') must align horizontally with a corresponding band in either the maternal or paternal DNA profile. Any band in the child's profile that does not match one parent must match the other parent.

By analyzing the gel electrophoresis profiles shown in the image, we can track each of the bands of Child 'X' from top to bottom:
1. The 1^st (top-most) band of Child 'X' matches a band in Individual 1.
2. The 2^nd band of Child 'X' matches a band in Individual 3.
3. The 3^rd band of Child 'X' matches a band in Individual 1.
4. The 4^th band of Child 'X' matches a band in Individual 3.
5. The 5^th band of Child 'X' matches a band in Individual 1.
6. The 6^th band of Child 'X' matches a band in Individual 1.
7. The 7^th band of Child 'X' matches a band in Individual 3.
8. The 8^th (bottom-most) band of Child 'X' matches a band in Individual 1.

Since every single DNA band of Child 'X' can be accounted for by the combination of bands from Individual 1 and Individual 3, these two individuals are the possible parents of the child.