Cautionary note (and a serious one, not to be snarky): Being well off financially is not a protection against gambling addiction (which can also take the form of day trading, for example); which is a pretty efficient way to ruin ones financial wealth, amongst other things.

As with many other psychological phenomenona, finances and education only protect to a certain degree or not at all, depending on what one is talking about in detail.

This is not a comment about correlation or causation of wealth with mental health, but rather a warning to keep in the back of ones head; success and a sharp mind don't make one immune against mental health issues in general and gambling addiction in particular.