Be careful when picking which failures to talk about because it can either be a hit or miss answer.
Be honest in your answer. Don't pick a weak example, where the failure wasn't truly a flop. It's very telling if you're uncomfortable with the question. The interviewer may see you as someone who can't take responsibility for her mistakes and grow from it.
You want to make sure that whatever you mention, you're able to explain how you bounced back stronger than ever and how you took steps to make sure that the mistake never happened again.
