**Explanation:**

The correct answer is option 'c) the little'.

When we use the phrase "the little", it implies a specific and limited amount. In this context, it refers to a specific chance that the person had, and they have lost that specific chance.

Let's break down each option and understand why they are correct or incorrect:

a) "a little" - This phrase is used to indicate a small or moderate amount. However, in this context, we are referring to a specific chance that the person had, not just any small chance. Therefore, this option is incorrect.

b) "little" - This phrase indicates a small or negligible amount. However, it does not convey the idea that it was a specific chance that the person had. Therefore, this option is incorrect.

c) "the little" - This phrase is used to refer to a specific and limited amount. In this context, it perfectly conveys the idea that the person had a specific chance, and they have lost that specific chance. Therefore, this option is correct.

d) "slight" - This word means small or not significant. While it conveys a similar idea to "little", it does not specify that it was a specific chance that the person had. Therefore, this option is incorrect.

In conclusion, option 'c) the little' is correct because it accurately conveys the idea that the person has lost a specific chance that they had.