When setting up their experiment, a student discovered that the solution in their flask turned bright pink upon adding 2 drops of the indicator, even before beginning the titration. What do you suspect was the mistake that the student made?

You are not giving us enough information to answer your question.

Speculating a bit, if you are supposed to use a standard NaOH solution is the buret, and an acid solution of unknown concentration in the flask with phenolphthalein indicator, could you have reversed where you placed the two solutions?
Placing the NaOH in the flask would account for what you observed.
Tell us more if my assumptions about the procedure are incorrect.

Describe how you would weigh your KHP samples, if you didn’t know about weighing by differences. Mentioning any differences between your method and the method we made you use, explain why we use the technique of weighing by difference.

Based on the information provided, it is likely that the student mistakenly added an excessive amount of indicator to the solution in the flask. Typically, only a small amount of indicator is required to accurately determine the endpoint of a titration. Adding 2 drops of the indicator and seeing a bright pink color before starting the titration indicates an inadvertent overdose of the indicator.

To confirm this hypothesis, you can check the instructions or procedure provided for the experiment. Many titration procedures specify the exact amount of indicator that should be added, such as "add 2-3 drops of indicator." If the instructions indicate a smaller number of drops, it supports the idea that the student added too much indicator.

It is important to note that the specific mistake can vary depending on the experiment. However, in the context of a titration, excess indicator can interfere with the accuracy of the results, making it difficult to determine the actual endpoint of the titration. Therefore, it is crucial to follow the recommended guidelines and not exceed the suggested amount of indicator.

I have no idea what experiment you are doing; therefore, I can't answer the question AND I don't even know the name of the indicator you were using. IF phenolphthalein was the indicator, that meant the solution in the flask was pH 8.5 or greater.