Nemo iudex in causa sua means "no one should be a judge in their own case." This means that if someone is involved in a situation, they should not be the one to make decisions about what happens in that situation.
For example, imagine you and your friend are playing a game and you accidentally knock over your friend's tower of blocks. Your friend might be upset and want to punish you, but they shouldn't be the one to decide what happens because they are involved in the situation. Another person, like a parent or teacher, should be the one to make a fair decision about what to do.
This rule is very important in many areas of life, including in court cases. If a judge is involved in a case, they should not be friends with either person or have any personal interest in the outcome. This ensures that the decision they make is fair and impartial.
Overall, nemo iudex in causa sua means that we need to make sure that everyone has a fair chance and that no one is biased when making decisions.