There's an inherent problem with low probability events.

Back then, markets were poor at correctly pricing low probability, high impact tail risks.

The probability is the square of the total probability amplitude.

(a) Risk of causing significant transboundary harm includes risks taking the form of a high probability of causing significant transboundary harm and a low probability of causing disastrous transboundary harm

The 9.0 magnitude earthquake that struck Japan is, of course, a highly exceptional event an event so rare that its probability cannot be well assessed with models based on limited historic data.

The 9.0 magnitude earthquake that struck Japan is, of course, a highly exceptional event an event so rare that its probability cannot be well assessed with models based on limited historic data.

It's just elementary probability theory.

At the end of the year, the probability is 90 that the event does not occur, so Oz owes nothing to option holders.

Events with very low probability but high impact so called tail risks have also been at the heart of the financial crisis.

The probability to win is 0.001 .

The probability to win is 0.001 .

The probability to win is 0.001 .

Internationally, where order is more tenuous, residual concerns about the coercive use of force, even if a low probability, can have important effects.

The probability of measuring a given string is the squared magnitude of that string's coefficient (i.e., the probability of measuring 000 formula_12, the probability of measuring 001 formula_13, etc..).

In all probability, the cabinet will fall.

In all probability, we'll arrive before them.

Hall Counterexamples in Probability and Real Analysis .

Journal of Applied Probability 7, 69 78.

The probability of such events is not negligible.

You say, what's the probability of being caught?

In all probability, we shall arrive before them.

In all probability, we'll arrive before they do.

Tomorrow there's a high probability it will rain.

Tomorrow there's a high probability it will rain.

All these 3 events have probability 1 3.

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Stupid event.

As we know or should know from the example of climate change, big risks must be managed, even if the probability of worse case outcomes is low.

But investors may be deluding themselves that the probability of these risks is low and thus may be unpleasantly surprised when one or more of them materializes.

In fact, as psychologists Daniel Kahneman and Amos Tversky have shown, there is a systematic human tendency to downgrade the perceived probability of low probability events, so that people go about their lives as if the probability of these events occurrence is zero. Similarly, humans tend to accept large downside risks in order to avoid small certain losses, such as insurance premiums.

Even a tiny probability of global catastrophe is unacceptable.

The probability of Tom being punished is very small.

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the event name

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An even more dramatic example of neglect of low probability high cost risks is the danger of an asteroid strike, which is analytically similar to the menace of tsunamis.

There is very little probability of an agreement being reached.

There is very little probability of an agreement being reached.

The 120 possible orderings should occur with statistically equal probability.

Since the probability of the event occurring is only 10 in any year, the chances are nearly 60 that more than five years will pass without the event occurring, in which case Oz makes more than 15 million even if no new money comes into the fund.

NEW YORK Despite the series of low probability, high impact events that have hit the global economy in 2011, financial markets continued to rise happily until a month or so ago.