The most succinct description I've ever found of why you switch was so good I made a note of it, though sadly not the provenance: "If you stay with the door yo

The most succinct description I've ever found of why you switch was so good I made a note of it, though sadly not the provenance: "If you stay with the door you picked initially you succeed if the initial door has a car, which has a chance of 1/3. If your strategy is to switch then you succeed if your initial pick is a goat, which has a chance of 2/3."