It is our nature to laugh to cover our embarrassment.
It’s purely psychological.
If you can trick her into saying or doing something she is not supposed to (which is either stupid or inappropriate), she’ll mostly likely laugh. But avoid doing so at the early stage of contact, because we also have a natural self-protecting mechanism to shun away from those who have tricked us. And it’s purely psychological too. Only start to trick her when there’s already some good rapport between the two of you.
If you trick her in a fun and friendly way, her embarrassment will not only make her laugh but also draw her closer to you.