'Amr b. al-'As reported that he heard Messenger of Allah ﷺ as saying: When a judge gives a decision, having tried his best to decide correctly and is right, there are two rewards for him;
and if he gave a judgment after having tried his best (to arrive at a correct decision) but erred, there is one reward for him.

حَدَّثَنَا يَحْيَى بْنُ يَحْيَى التَّمِيمِيُّ، أَخْبَرَنَا عَبْدُ الْعَزِيزِ بْنُ مُحَمَّدٍ، عَنْ يَزِيدَ بْنِ عَبْدِ، اللَّهِ بْنِ أُسَامَةَ بْنِ الْهَادِ عَنْ مُحَمَّدِ بْنِ إِبْرَاهِيمَ، عَنْ بُسْرِ بْنِ سَعِيدٍ، عَنْ أَبِي قَيْسٍ، مَوْلَى عَمْرِو بْنِ الْعَاصِ عَنْ عَمْرِو بْنِ الْعَاصِ، أَنَّهُ سَمِعَ رَسُولَ اللَّهِ ﷺ قَالَ
" إِذَا حَكَمَ الْحَاكِمُ فَاجْتَهَدَ ثُمَّ أَصَابَ فَلَهُ أَجْرَانِ . وَإِذَا حَكَمَ فَاجْتَهَدَ ثُمَّ أَخْطَأَ فَلَهُ أَجْرٌ " .