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1. Potato chips were invented by mistake.
2. They were invented in 1863.
3. The customer thought the potatoes were not thin enough.
4. The customer said they were not salty enough.
5. George wanted to make the customer happy.
6. The customer was happy in the end.
1.by mistake为介词短语，意为“无意中；错误地”,相当于accidentally。
例句：I missed the school bus by mistake this morning. 今天早上我无意中错过了校车。
I took your pen by mistake. 我错拿了你的钢笔。
mistake还可以构成短语：
make a mistake/make mistakes犯错误；mistake…for… 把……错认成……。
例句：Don't make mistakes any more. 别再出错了。
I mistook her for our English teacher. 我把她错认成我们的英语老师了。
