Probability

The Differential Dice Stopping Game

Difficulty
xxx xxxxxxxxxx xxxx xxx xxxx xxx-xxxxx xxxx, xxx xxx xxx xxx xxxx. xx xxx xxx-xxxxxxxx xxxxx, xxxx xxxxxx xx \(x-x\) xx xxx xxxx xxx \(x\) xx xxxxxxxx xxxxxx xxxx xxx xxx xxx \(x\); xxxxxxxxx xxx xxxxxx xx \(x\). xx xxx xxxx xxxxxxx (\(x=x\)), xxx xxxx xxxxx xxxxxxxxxxx xxxxx xxxx xxxx (xxx xxxx xxxxxxxx xxxx xxxx \(x\)). xx xxx xx xxx xxxx xxxxxxx, xxx xxxxxxx xxx xxxxx’x xxxxxx xxx xxxx xxxxx xxxxx xxx xxxx xxxxx. xxxx xx xxx xxxx xxxxx (xxxxxxxx xxxxxxx xxxxx xxxx xx xxxxxxxxxxx) xx xxxx xxxx?

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