The latter requirement simply means that all the nonzero probability mass of the distribution must be contained in some known interval .
On the discrete level conditioning is possible only if the condition is of nonzero probability (one cannot divide by zero).
There is a nonzero probability that the photon will tunnel across the gap rather than follow the refracted path.
For instance, an extremely disturbing event (an attack by hijacking, or moral hazards) may be ignored in analysis despite the fact it has occurred and has a nonzero probability.
As every student of elementary statistics knows, the probability of a union of independent events with nonzero probabilities cannot converge to zero.
If there is a nonzero probability for any two paths to reach the same point at the same time, this stationary distribution does not depend on the initial conditions.
We both knew that there was a significant nonzero probability that you would be captured.
"Essentially, the wavefunction of every particle has a nonzero probability of being anywhere in the universe," Ruyao replied.
For example, quantum mechanical "zero-point motion," which allows systems in their "ground" (lowest possible energy) state to have nonzero probability of being found over extended areas of space.
Ed Thorp realized the idea could be extended to give the Kelly bettor a nonzero probability of being ruined.