when the Prophet (ﷺ) traveled, he would cast lots among his wives (to decide which one would accompany him).
Sunan Ibn Majah Book 13, Hadith 40
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two men disputed concerning a transaction, and neither of them had proof. The Messenger of Allah commanded them to draw lots as to which of them should swear an oath, whether they liked it or not.
Sunan Ibn Majah Book 13, Hadith 39 Next Hadith → “A case was brought to 'Ali bin Abu Talib when he was in Yemen, concerning three men who had intercourse with a woman during one period of being free from menses. He asked two of them: “Do you affirm that this child belongs to (the third man)?” And they said: “No.” He asked another two of them: “Do you affirm that this child belongs to (the third man)?” And they said: “No.” Every time he asked two of them whether they affirmed that the child belonged to the third, they would say no. So he cast lots between them, and attributed the child to the one whose name was chosen in this manner, and obliged him to pay two thirds of the Diyah. The Prophet (ﷺ) was told of this, and he smiled so broadly that his back teeth became visible.
Sunan Ibn Majah Book 13, Hadith 41
Sunan Ibn Majah Book 13, Hadith 39 Next Hadith → “A case was brought to 'Ali bin Abu Talib when he was in Yemen, concerning three men who had intercourse with a woman during one period of being free from menses. He asked two of them: “Do you affirm that this child belongs to (the third man)?” And they said: “No.” He asked another two of them: “Do you affirm that this child belongs to (the third man)?” And they said: “No.” Every time he asked two of them whether they affirmed that the child belonged to the third, they would say no. So he cast lots between them, and attributed the child to the one whose name was chosen in this manner, and obliged him to pay two thirds of the Diyah. The Prophet (ﷺ) was told of this, and he smiled so broadly that his back teeth became visible.
Sunan Ibn Majah Book 13, Hadith 41