Equally likely outcomes

Equally likely refers to two or more possible outcomes of a given situation that have the same probability or the same likelihood to occur.

For example, if you throw a die, there are six possible outcomes. You could get 1, 2, 3, 4, 5, or 6. These outcomes are equally likely to occur.
In other words, the probability to get a 1 is the same as the probability to get a 2,3,4,5,or 6.

A weighted die is a die that has been modified so some outcomes are more likely to occur than other.

Note that if  you use a weighted die, then the outcomes will not be equally likely.

More examples of equally likely outcomes

  • When you flip a coin, the two outcomes ( heads or tails ) are equally likely to occur.
  • Suppose you have 20 songs on Windows Media Player and you set it to play the songs randomly. The outcomes of listening to all 20 songs are equally likely.
  • Suppose you put 5 yellow balls, 2 red balls, and 3 blue balls in a bag and trying to pick 1 ball. The outcomes of getting a yellow ball, red ball, or a blue ball are equally likely.

Notice that when picking a ball from a bag, it does not matter if there are more balls of a certain color than another color. It is equally likely because each ball has the same chance of getting picked.

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