A more thorough explanation:

Judicial discretion is the power given to judges to make decisions based on their own evaluation of a case, guided by the principles of law. This power is granted by the legislature and allows judges to make decisions that are fair and just, taking into account the unique circumstances of each case.

For example, in Ohio, Rule 59 of the rules of civil procedure allows courts to grant a new trial based on their "sound discretion." This means that the judge can decide whether or not to grant a new trial based on their own evaluation of the case, rather than following a strict set of rules.

In criminal law, certain penal code provisions, such as California's penal code 17(c), give judges the discretion to choose between different punishments for certain crimes. This means that the judge can decide what punishment is appropriate based on the specific circumstances of the case.

However, judges must use their discretion responsibly and make decisions that are sound and not arbitrary. If a judge abuses their discretion, their decision can be appealed. An abuse of discretion occurs when a judge makes a decision that is outside the bounds of reason or that results in a manifest miscarriage of justice.

For example, if a judge has the discretion to issue a misdemeanor or felony sentence and chooses the former solely out of disapproval for the punishment that would follow the latter, they have abused their discretion by making their decision using the wrong considerations.

Overall, judicial discretion is an important power that allows judges to make decisions that are fair and just, taking into account the unique circumstances of each case.