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Section 13.1 · Statistics and probability

The probability scale

Use the language of probability and place events on the 0-to-1 scale, in words, fractions, decimals and percentages.

6 teaching slides 47 practice questions Worked answers for every question

1 · Teaching slidesuse ← → keys

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2 · Key words

probabilityHow likely something is, on a scale from 0 to 1.
impossibleIt can never happen; probability 0.
certainIt must happen; probability 1.
even chanceJust as likely as not; probability 1/2.
outcomeOne possible result.
eventThe outcome or outcomes you are interested in.
probability scaleThe line from 0 to 1 that every probability sits on.

3 · Summary of the sectionrevise from this

  • Every probability lies between 0 and 1. Nothing is less likely than impossible or more likely than certain.
  • 0 = impossible, 1/2 = even chance, 1 = certain.
  • A probability can be written as a fraction, a decimal or a percentage — all three mean the same thing.
  • 0.2 = 1/5 = 20%. Convert to one form before comparing.
  • Words like “probably” mean different things to different people; a number does not.
  • An outcome is one possible result; an event is the outcome or outcomes you care about.
  • An event and its opposite have probabilities that add to 1.
  • A probability of 1/2 does not promise that exactly half of any set of trials will succeed.

Video lessons2 videos

Math Antics - Basic Probability

American mathantics

What probability means and how it is written. Note the channel's own correction: “odds” and “probability” are not the same thing.

The Probability Scale

British corbettmaths

Placing events on the 0-to-1 line, and the words that go with each part of it.

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4 · Practice47 questions, easiest first

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13.2 Calculating probabilities