Six sided dice problem
Summary:
$$ n = \sum_{k=1}^{\infty}{k*P(rolls=k)} $$
Where:
$$P(rolls=k) = q^{(k-1)} * p$$
p is probability we get a 6 in k’th roll, and q^(k-1) is probability we do not get a 6 in all k-1 rolls.
Six sided dice problem
Summary:
$$ n = \sum_{k=1}^{\infty}{k*P(rolls=k)} $$
Where:
$$P(rolls=k) = q^{(k-1)} * p$$
p is probability we get a 6 in k’th roll, and q^(k-1) is probability we do not get a 6 in all k-1 rolls.