Is it permissible for a married woman to play PlayStation with men and women she does not know, and is her husband sinful if he allows her to do so?

Playing PlayStation games is forbidden if they include something prohibited, such as musical instruments and images, especially if there are multiple players, and repentance for that becomes obligatory. However, if they are free from the forbidden, then online participation between genders is permissible if there is no social interaction, such as a wife playing in place of her husband without interacting with non-mahram men. It is preferred to allocate separate times for men and women to play to prevent suspicion and boredom.