Sunan Ibn Majah - Book 9, Hadith 126
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It was narrated from 'Aishah: that whenever the Messenger of Allah was to travel, he would cast lots among his wives.
How the Prophet ص modelled this behaviour here
Justice & Fairness
“he would cast lots among his wives”
Treats his wife (and co-wives) justly and equitably; honors her rights and gives her what is due without wronging her.