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YCor
YCor
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Uniform Distribution Expectation for game choosing uniformly number in $[0,1]$ until it decreases

We are playing a game where we keep on choosing a number from the uniform distribution U(0,1). The game goes on until we have the current number less than the previously picked number, i.e. the game will stop if we get a number less than the previous number and will continue if we get a number greater than equal to the previous number. What is the expected value of the final number?

Uniform Distribution

We are playing a game where we keep on choosing a number from the uniform distribution U(0,1). The game goes on until we have the current number less than the previously picked number i.e. the game will stop if we get a number less than the previous number and will continue if we get a number greater than equal to the previous number. What is the expected value of the final number?

Expectation for game choosing uniformly number in $[0,1]$ until it decreases

We are playing a game where we keep on choosing a number from the uniform distribution U(0,1). The game goes on until we have the current number less than the previously picked number, i.e. the game will stop if we get a number less than the previous number and will continue if we get a number greater than equal to the previous number. What is the expected value of the final number?

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Shashank Nathani
Shashank Nathani
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Uniform Distribution

We are playing a game where we keep on choosing a number from the uniform distribution U(0,1). The game goes on until we have the current number less than the previously picked number i.e. the game will stop if we get a number less than the previous number and will continue if we get a number greater than equal to the previous number. What is the expected value of the final number?