This probability approaches 0 as the string approaches infinity.

In the limit, the probability that the majority votes correctly approaches 1 as the number of voters increases.

It occurs to me that the probability of that will be approaching one.

As an online discussion grows longer, the probability of someone posting a picture of a pony approaches one.

As someone is killed in an online match on Xbox Live, the probability of them calling other people homosexuals approaches one.

The probability of recombination is approximately for small values of and approaches 50% as goes to infinity.

Perhaps not overturned, but given the estimates of my life span the probability approaches 100 percent that it will be challenged.

Having done so, the probability approaches unity that you will not again encounter him or any of his group.

Depending on the choice of the distribution of the optimal win probability is typically much lower than 1/e, and may even approach zero.