Math Is Fun Forum

Simon

Member

Registered: 2006-06-06

Posts: 41

A different angle from Monty Hall

Four boxes:

2 contain a cheque for $1000 made out to you
2 contain a bill for $1000, payable on demand.

The host knows which are which.

Choose a box.
Whichever you choose, you must keep.
There is no swapping allowed.

Now you instruct the host to reveal one bill or one prize from the remaining boxes - you can choose which is eliminated

Next, it's you who opens another of the remaining boxes.

If two of the same kind are revealed, you have nothing to lose or gain. You will neither pay or receive what is in your box.

If one of each kind is eliminated, the game is on. You must then pay or receive $1,000 - whatever your box reveals.

Can you increase your chance of getting a cheque?
Or are the odds 50/50?

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: A different angle from Monty Hall

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Why did the vector cross the road?
It wanted to be normal.