5 Nowhere on this page do I see the actual rules for host behavior, and the "Conditional probability by direct calculation" section, seems to contradict the established conclusion of the puzzle. | The Monty Hall problem (en.wikipedia.org) Discussion posted 252 days ago by Questionable 252 days ago by Questionable +6 / -1 Monty Hall problem - Wikipedia 12 comments share 12 comments share save hide report block hide replies
You always want to switch..
On first choice you had 1/3 chance..
Host has to show a non winner (goat)
Now you have a 1 - (1/3) chance == 2/3
Yet nobody is addressing the "Conditional probability by direct calculation" section as asked about in the title. Please examine the diagram in that section.