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If we get A, we choose A, since A is a better match than C. If we get C, we reject them, since C is a worse match than B.

Since A is

The context makes many sexist assumptions, of course. The strategy tells us to reject A. It opens to reveal someone else.

Again, you can choose this person as your match. Your mission is to couple up with your best possible match. Your choice is the person behind the final door. Imagine you chose a door at random. If you think that this person is a worse match than the person behind the first door, reject them.

Nor are you allowed to

Nor are you allowed to return to the person you discarded behind the first door. You can assume that of the three people who are waiting behind the doors, there is a best match, a not so good match, and a least good match for you. Since A is the best match, in this case you wont get your best match. We end up with A, our best match.

Behind each door is a prospective partner. If we get A, we choose them, since A is a better match than B.

You must use the first person as a reference for what comes next. In summary, we win if we see B first, or if we see C and then A. In front of you are three doors.

You can assume

If you think that this person is a better match than the person behind the first door, choose them. If you decide to move on, you discard the first person. You must choose the person behind it as your match, whatever you think of them. If you want to choose this person as your match, you can.

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The answer, however, is simple to state. The problem is also known as the Secretary problem, in which a boss sees n different candidates for the position of secretary. It will open to reveal one of your potential suitors. As a rule of thumb this strategy is often helpful in many situations, not just dating. If we get B, we choose B, since B is a better match than C.