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Two Possible Results Do Not Automatically Mean Fifty-Fifty

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The Mathematics of Maybe: Introduction to Probability · Experimental and theoretical probability · 4:03

You'll learn: Test whether equally likely outcomes are justified.

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Two Possible Results Do Not Automatically Mean Fifty-Fifty

4:03

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Two Possible Results Do Not Automatically Mean Fifty-Fifty

You'll learn: Test whether equally likely outcomes are justified.

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Experimental and theoretical probability

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Estimate Probability from What Actually Happened
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Estimate Probability from What Actually Happened
You'll learn: Define experimental probability as event frequency divided by trials.
Run a Coin Experiment and Record the Results
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Run a Coin Experiment and Record the Results
You'll learn: Organise a20-toss experiment and calculate observed relative frequencies.
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A Paper Cup Has Three Outcomes—Are They Equally Likely?
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Why Experiment and Theory Can Give Different Answers
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You'll learn: Explain independence and the gambler’s fallacy.

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Using surveys and statistical evidence

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Use a Survey to Estimate a Random Student’s Preference
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Use a Survey to Estimate a Random Student’s Preference
You'll learn: Read a frequency table and find a probability for a randomly selected member of the observed group.
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A Sample Can Suggest What a Larger Population Prefers
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Read a Tyre-Lifetime Table as Probability Evidence
You'll learn: Add relevant category frequencies and divide by the observed total.

Next topic

Sample spaces and events

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List Every Possible Outcome Exactly Once
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List Every Possible Outcome Exactly Once
You'll learn: Define a sample space S and its number of elements n(S).
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The Question Determines the Detail in a Sample Space
You'll learn: Refine an outcome description to match what is recorded.
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You'll learn: List the requested integer outcomes and separate physical balls from colour categories.