When we say that a particular event has slim chances of happening, it means that the probability of it occurring is very low. There are several synonyms one can use in place of the phrase "slim chances." For instance, you could say that the prospect of it happening is remote, improbable, or unlikely. Another alternative would be to use the phrase "not very likely," "unlikely to happen," or "doubtful." In addition, you could use other phrases such as "it's a long shot," "odds are against it," or "chances are slim to none." Overall, there are many ways to describe the concept of "slim chances" depending on the specific context.