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TopicMy brother cannot comprehend the Monty Hall problem.
Anteaterking
05/24/20 11:06:51 PM
#76:


dave_is_slick posted...
Sticking with the second one. The third one could either be better or worse but you don't know. The first has been eliminated. I'm sticking with the junky one I know instead of risking it for something worse or better.

So here are the possible rankings from first visit to second visit

1 2 3
1 3 2
2 1 3
2 3 1
3 1 2
3 2 1

How many of these have the first one better than the second one? Only these three:

1 2 3
1 3 2
2 3 1

How many of these three have the third hotel being better?

1 3 2
2 3 1

So you should go to the third hotel.

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