Kevin is correct about the math problem, it's a common game theory question. As he explains, the initial choice of door is based on a 1/3 probability. The probability remains in thirds after the first door is opened, the key point being that the game show host must reveal a door you've not chosen, so the probability of the prize being behind the unchosen, unopened door increases to 2/3. In short, the Monty hall problem is to pick 1/3, to switch 2/3.
First time the Boyle family's compulsive "I love you" back and forth is featured. It becomes a running joke.
The Monty Hall problem seems counter intuitive to many people because, like Holt, they assume that two choices will give them a 50/50 chance of being right, making a switch in doors meaningless. The simplest explanation is this: when you make the initial choice, between the three doors, you have a one in three chances of being right. There's a 2/3 chance that the car is behind the doors you did not pick. When the host eliminates a door those probabilities don't change. Your initial pick still has a 1/3 chance of being right, while the remaining unpicked door has a 2/3 chance of being right. You should switch.
Terry not only always wears suspenders at work but is clearly wearing them when Jake asks him if he wants to go with him to question Parlov's ex-assistant, but when he shows up to help he just happens to not being wearing them when Jake trips and pulls down his pants.