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What are probabilities?

What are probabilities? Here are some definitions.

Noun
  1. plural of probability
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As described earlier, we use binomial probabilities to calculate the confidence level of this interval.
To calculate the confidence level associated with any such interval, we use binomial probabilities in the same manner as described earlier.
He even calculates the conditional probabilities of such a cluster occurring just by chance.
While these actions are indeed forestalling a severe downturn, they are significantly increasing the probabilities for much worse down the road.
When one conditionalizes, one applies the initial conditional probabilities to determine final unconditional probabilities.
Thirdly, the powerful effect of these stories relates to the way people estimate probabilities.

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