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I don't want to sound too arrogant but why should I apply if I think I can succeed on my own?

You should apply if you think the company will be worth ~7% more if you do YC that it would be worth if you do it on your own.

If you could make a $10B company on your own, but doing YC could make it be a $20B company, then it would obviously be well worth it.

This is a (sadly) very commonly misunderstood concept.