Original sentence: An even simpler solution is to reason that switching loses if and only if the player initially picks the car, which happens with probability 1/3, so switching must win with probability 2/3 (Carlton 2005).Car  1/3  Goat  Goat  1/3.Door 1  Original Probability Host Has Opened Door 2 or Host Has Opened Door 3 Remaining Door Probability (unchanged).Goat  2/3  Goat  Car  2/3
Edited sentence: An even simpler solution is to reason that switching loses if and only if the player initially picks the car, which happens with probability 1/3, so switching must win with probability 2/3 (Carlton 2005) as shown in the following table:.Car  1/3  Goat  Goat.Goat  2/3  Goat  Car.Player's door  Probability  Door the host opens  Remaining door