Probability riddle
Posted: 01 Jan 2020, 08:04
Please, do not spoil the fun for other people, if you already know the answer.
There are 3 closed envelopes with letters on them: A, B and C.
One of them contains a cheque for £1000. The other two contain nothing.
You are asked to choose one envelope.
After making the final decision, you will receive the contents of the envelope (if any).
You've chosen envelope A.
After making the choice, envelope C is opened and it is revealed that it contains nothing.
Now you are given an option to change your initial choice. This will be your final decision.
You can either keep envelope A or switch and keep envelope B.
What should you do and why, assuming you want to maximize the probability that you win the cheque?
a) keep envelope A, because it maximizes the probability that you win the cheque
b) switch and keep envelope B, because it maximizes the probability that you win the cheque
c) it doesn't matter whether you switch or not, the probabilities that you win the cheque are the same for both choices, so you can do either
Feel free to discuss it with other people in this thread.
There are 3 closed envelopes with letters on them: A, B and C.
One of them contains a cheque for £1000. The other two contain nothing.
You are asked to choose one envelope.
After making the final decision, you will receive the contents of the envelope (if any).
You've chosen envelope A.
After making the choice, envelope C is opened and it is revealed that it contains nothing.
Now you are given an option to change your initial choice. This will be your final decision.
You can either keep envelope A or switch and keep envelope B.
What should you do and why, assuming you want to maximize the probability that you win the cheque?
a) keep envelope A, because it maximizes the probability that you win the cheque
b) switch and keep envelope B, because it maximizes the probability that you win the cheque
c) it doesn't matter whether you switch or not, the probabilities that you win the cheque are the same for both choices, so you can do either
Feel free to discuss it with other people in this thread.