30. You have made it to the final round of the show Let’sMake a Deal. You know that there is a $1 million prizebehind either door 1, door 2, or door 3. It is equallylikely that the prize is behind any of the three doors.The two doors without a prize have nothing behindthem. You randomly choose door 2. Before you see whether the prize is behind door 2, host Monty Hallopens a door that has no prize behind it. Specifically,suppose that before door 2 is opened, Monty revealsthat there is no prize behind door 3. You now have theopportunity to switch and choose door 1. Should youswitch? Simulate this situation 1000 times. For eachreplication use an @RISK function to generate thedoor that leads to the prize. Then use another @RISKfunction to generate the door that Monty will open.Assume that Monty plays as follows: Monty knowswhere the prize is and will open an empty door, but hecannot open door 2. If the prize is really behind door2, Monty is equally likely to open door 1 or door 3.If the prize is really behind door 1, Monty must opendoor 3. If the prize is really behind door 3, Montymust open door 1
30. You have made it to the final round of the show Let’sMake a Deal. You know that there is a $1 million prizebehind either door 1, door 2, or door 3. It is equallylikely that the prize is behind any of the three doors.
The two doors without a prize have nothing behindthem. You randomly choose door 2. Before you see whether the prize is behind door 2, host Monty Hallopens a door that has no prize behind it. Specifically,
suppose that before door 2 is opened, Monty revealsthat there is no prize behind door 3. You now have theopportunity to switch and choose door 1. Should youswitch? Simulate this situation 1000 times. For each
replication use an @RISK function to generate thedoor that leads to the prize. Then use another @RISKfunction to generate the door that Monty will open.Assume that Monty plays as follows: Monty knows
where the prize is and will open an empty door, but hecannot open door 2. If the prize is really behind door2, Monty is equally likely to open door 1 or door 3.If the prize is really behind door 1, Monty must open
door 3. If the prize is really behind door 3, Monty
must open door 1
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