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Probability and Bayes · Lesson 29

Prior Beliefs and New Evidence

The service has a historical late-delivery rate before today's forecast arrives.

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Prior Beliefs and New Evidence explained visually

1:02

The service has a historical late-delivery rate before today's forecast arrives. English captions are optional and start off. The complete transcript follows the written lesson.

Lesson overview

What you will learn

The service has a historical late-delivery rate before today's forecast arrives.

  1. A practical question
  2. The useful idea
  3. Work through the example
  4. Limits and next step
01

A practical question

Before seeing today's forecast, the dispatcher already knows that some fraction of trips run late. That baseline is a prior belief about a delivery under a defined set of conditions.

02

The useful idea

A weather alert changes the picture only in relation to how often alerts occur on late trips and on-time trips. If alerts are common on both, one alert may not move the risk very far. The same alert can lead to a different final risk when the baseline late rate differs by route.

03

Work through the example

Compare an alert for a historically reliable route with an alert for a difficult one, using held-out frequency estimates. Make sure the prior and alert statistics come from comparable trips. A prior is evidence summarized from a population, not a personal feeling about one driver.

04

Limits and next step

Next, we'll work through the counts in a concrete Bayes example so the size of the update is clear.

Worked example

Update a low base rate using a weather signal rather than treating that signal alone as the answer.

Knowledge check

Quick check: test your understanding

Try it yourself: In the situation described above, explain the method and one reason its output might be misleading.

Check the reasoning

A prior expresses an initial probability before the new evidence is considered. Ignoring the base rate can exaggerate a warning.

What is the main idea behind prior beliefs and new evidence?

A prior expresses an initial probability before the new evidence is considered.

How is it used in the example?

Update a low base rate using a weather signal rather than treating that signal alone as the answer.

What limitation should be checked?

Ignoring the base rate can exaggerate a warning.

Further reading

Machine Learning — Tom M. Mitchell.

Original ToolsInVision teaching examples. Editorial approach · Suggest a correction

Accessible referenceLesson 29 transcript147 words · Video transcript · Matches the published narration and captionsOpen transcript

Before seeing today's forecast, the dispatcher already knows that some fraction of trips run late. That baseline is a prior belief about a delivery under a defined set of conditions.

A weather alert changes the picture only in relation to how often alerts occur on late trips and on-time trips. If alerts are common on both, one alert may not move the risk very far. The same alert can lead to a different final risk when the baseline late rate differs by route.

Compare an alert for a historically reliable route with an alert for a difficult one, using held-out frequency estimates. Make sure the prior and alert statistics come from comparable trips. A prior is evidence summarized from a population, not a personal feeling about one driver.

Next, we'll work through the counts in a concrete Bayes example so the size of the update is clear.