The young man had several things to consider. One thing he is certain about is that the princess loves him as evidenced how jealous she got when she saw the man talking to a fair maiden. The princess is also barbaric. Moreover, the princess knows who the lady standing behind one door is. The lady is a young courtier who, on several occasions, has looked at the young man in a manner that suggests she admired him.
The young man is also aware that the princess knows who the lady behind the door is. According to the young man, the princess would mislead him into picking the door that has the tiger behind it. Therefore, when the princess indicates for the young man to open the door on the right, the young man follows this signal. The man picks the door on the right because he may have thought that the princess is only acting out of jealousy and that she chose the right door just so that he can be paranoid and open the one to the lift which does not have fair maiden.
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The princess knew that the young man is aware of how jealous she was. The only way to win this was by her asking the young man to open the door without the fair maiden so that the man can act out of mistrust and open the other one. However, the young man is definitely a few steps ahead of all these. He chooses to open the door that has been pointed to him by the princess as it would have been definitely been the one that contains the fair maiden who likes him. Men and women don’t necessarily think differently about this topic.