belmontgenetics.org
𝑌 be the door with the prize
𝑋 be the door chosen by the contestant
𝑍 be the door opened by the host
When the game starts X⊥Y, and Z is influenced by both X and Y; but after Monty selects Z the DAG can be updated
𝑌 be the door with the prize
𝑋 be the door chosen by the contestant
𝑍 be the door opened by the host
When the game starts X⊥Y, and Z is influenced by both X and Y; but after Monty selects Z the DAG can be updated
Here's the DAG
Here's the DAG