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Equally likely outcomes

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Probability

Equally likely outcomes

Two outcomes are equally likely when they have exactly the same chance of happening.

Fair coinHTheads or tails — same chanceBalanced bag3 red, 3 blue — same chance

How to spot them

Look at the possible outcomes. If each one has the same chance — like the same number of each colour in a bag — then they are equally likely. If there are more of one, they are not equally likely.

Worked examples

A fair coin

  1. A coin can land heads or tails.
  2. Each has the same chance.

Answer: Heads and tails are equally likely.

A balanced bag

  1. A bag has 3 red and 3 blue balls.
  2. There are the same number of each colour.

Answer: Red and blue are equally likely.

Where you see this in real life

  • Flipping a coin to decide who goes first in a game.
  • Using a coin to simulate whether a kitten is male or female.
  • A spinner split into equal, matching sections.

Key words

Equally likely
Outcomes that have the same chance of happening.
Outcome
A result that could happen, such as heads or tails.
Even chance
Just as likely to happen as not to happen.