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Idea 6of 22Builds onProbability as a fraction

Impossible is 0, certain is 1

What are the smallest and biggest a probability can be?

Today you'll discover

  • what a probability of 0 means
  • what a probability of 1 means
  • where every other probability goes

Think firstA spinner that is blue all over

A spinner is blue all over. What is the probability of landing on orange?

Decide first, then press Next. Look at the two ends of the line.

A line from 0 on the left to 1 on the right, cut into quarters. The word impossible appears under 0 and certain under 1; then pointers place orange on the all-blue spinner at 0 and blue at 1, and the quarter marks are labelled. The last step shows the line for a bag of 3 green marbles.

See the whole ideathe big idea and the key word, in one place

The big idea

A probability of 0 means impossible; 1 means certain; every other probability lies between.

The two ends

The line runs from never to always.

  1. impossible0
  2. certain1

For exampleRolling a 7 on a 1-to-6 number cube is impossible: 0. The sun rising tomorrow is certain: 1.

Key words

probability line
a line from 0 to 1 that shows how likely events are
impossible
can never happen; its probability is 0
certain
will always happen; its probability is 1

Ready to use it?

  • Say whether an event is impossible or certain.
  • Mark 0 and 1 on a probability line.
Practise this idea