You may occasionally have a negative encounter that might stick in your memory.

你可能偶尔会有一个不愉快的邂逅，这种邂逅可能会让你记忆深刻。

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Some might enjoy riding bicycles through Shark Valley, while others may want to move slowly through shallow waters where insects and wildlife can be seen up-close.

VOA: special.2009.06.30

On the other hand there may be some other spaces that students would be encouraged to search for those who might have experiences unlike their own.

除此之外，也有可能在一些别的空间,学生们会受到鼓励，去寻找,那些和自己经历不同的人。

普林斯顿公开课 - 人性课程节选

That revisions may have been made, so that you might have different sources that have been revised or put together in different ways. Right?

这些修订，以便于你可以对,不同的素材，以不同方式，进行修改或者重组？

耶鲁公开课 - 旧约导论课程节选

Iosifescu said that given the small numbers of patients involved they may or might not be a problem.

FORBES: Clinical Data Could Use More Data

The use of may or might varies according to context.

BBC: 10 questions on grammar

Because even Lord Chief Justices, it seems, cannot tell their may from their might.

ECONOMIST: Johnson