Double or Halve Riddle
$begingroup$
You start off with $100. Every second, your total amount of money doubles with probability $p$ or gets cut in half with probability $1-p.$ If you drop below $98.76543210 cents at any point, you lose and the host of the game show laughs at you.
Furthermore, you stubbornly refuse to stop playing. What's the probability that you eventually lose? Note: Assume that you and the host are both immortal, and that thermodynamic restrictions do not prevent gameplay in the longue duree.
sequence
asked 5 mins ago
Display nameDisplay name
1,000217
$endgroup$
add a comment |
$begingroup$
You start off with $100. Every second, your total amount of money doubles with probability $p$ or gets cut in half with probability $1-p.$ If you drop below $98.76543210 cents at any point, you lose and the host of the game show laughs at you.
Furthermore, you stubbornly refuse to stop playing. What's the probability that you eventually lose? Note: Assume that you and the host are both immortal, and that thermodynamic restrictions do not prevent gameplay in the longue duree.
sequence
asked 5 mins ago
Display nameDisplay name
1,000217
$endgroup$
add a comment |
$begingroup$
You start off with $100. Every second, your total amount of money doubles with probability $p$ or gets cut in half with probability $1-p.$ If you drop below $98.76543210 cents at any point, you lose and the host of the game show laughs at you.
Furthermore, you stubbornly refuse to stop playing. What's the probability that you eventually lose? Note: Assume that you and the host are both immortal, and that thermodynamic restrictions do not prevent gameplay in the longue duree.
sequence
asked 5 mins ago
Display nameDisplay name
1,000217
$endgroup$
You start off with $100. Every second, your total amount of money doubles with probability $p$ or gets cut in half with probability $1-p.$ If you drop below $98.76543210 cents at any point, you lose and the host of the game show laughs at you.
Furthermore, you stubbornly refuse to stop playing. What's the probability that you eventually lose? Note: Assume that you and the host are both immortal, and that thermodynamic restrictions do not prevent gameplay in the longue duree.
sequence
sequence
asked 5 mins ago
Display nameDisplay name
1,000217
asked 5 mins ago
Display nameDisplay name
1,000217
asked 5 mins ago
Display nameDisplay name
1,000217
asked 5 mins ago
Display nameDisplay name
1,000217
asked 5 mins ago
Display nameDisplay name
1,000217
1,000217
add a comment |
add a comment |
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