我十分偶然地发现了这些事。

I found the things quite by accident.

youdao

一个夏天，在阳光的酷晒下，枯树枝燃烧起来，于是火被人类十分偶然地发现了。

It was probably discovered by accident when the sun made something burn-perhaps a dry tree in a hot summer. Soon fire began to be used as a source of energy.

youdao

十分坦白地说，为了帮助别人解决问题我喜欢忽视自己的小麻烦，而使我自己生活在偶然的(呃，好吧，稳定的)混乱中。

And quite frankly, I enjoy ignoring my own untended messes in order to help others clean theirs, leaving my own life in occasional (okay, steady) disarray.

youdao