Here's a better example: I flip a coin. It lands tails three times in a row. I get ready to flip it again. Do you think it's more likely to land heads on this flip than tails? Why? The coin has no memory.
I really like the coin example, because people can look at a coin and see it has no memory of the past. What tends to really confuse people is more abstract things like "low game median". E.g. over the last 1000 games, let's say the median is bust was 1.9. We know the median is going to trend back towards 1.97x -- so surely it's a good time to bet?