Q: What is the probability based on observations called?

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It is called 'Experimental Probability'.

Experimental probability.

the scientific method is called a deductive approachconclusionPrediction

A probability indicates the likely-hood that a particular event occurs out of a set number of observations or measurements. A probability distribution allows relative comparison of probability of an event with any other possible event.

It is called PROBABILITY.

Related questions

It is called 'Experimental Probability'.

Experimental probability.

Prior probability is the probability that is assessed before reference is made to relevant observations.

A "Theory".

it is called an inference

hypothesis?

Hypothesis.

this is called a a posteriori probability. based on some evidence, you are trying to estimate the likelyhood of the hypothesis.

Qualitative studies

This would be called a hypothesis.

hdheheh

It can be called a "conditional probability", but the word "conditional" is irrelevant if the two events are independent.