Chapter 8

Likelihood

Describe how likely everyday events are, from impossible to certain.

What is likelihood?

Likelihood tells us how likely an event is to happen. We use everyday words to describe it: certain, likely, even chance, unlikely, and impossible. Think about how many outcomes give what you want compared to all the possible outcomes.

Key idea

Certain = will definitely happen. Impossible = will never happen. Even chance = equally likely to happen or not. Likely / unlikely = probably will / probably will not.

Worked example

Worked example

A normal die has the numbers 1 to 6.
Rolling a number from 1 to 6 is certain.
Rolling a 7 is impossible.
Rolling an even number (2, 4, 6) is an even chance, because 3 of the 6 numbers are even.
Now think of a bag with 9 red balls and 1 blue ball. Drawing red is likely and drawing blue is unlikely, because there are far more red balls than blue ones.

Remember

  • Certain will always happen.
  • Impossible will never happen.
  • Even chance means half and half.
  • The more of a colour in a bag, the more likely you draw it.

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