Markov Chain Name Generation

string name = "";
double chanceOfEnd = 0.0;

string currentRule = keys[_randomGenerator.Next(0, keys.Count)];
name += currentRule;

while (_rules.ContainsKey(currentRule))
{
    currentRule = _rules[currentRule][_randomGenerator.Next(0, _rules[currentRule].Count)];
    name += currentRule;

    if (_randomGenerator.NextDouble() < chanceOfEnd)
        break;
    else
        chanceOfEnd += 0.1;
}