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Probability of an event

Probability of an event is a number that shows how likely that event is to happen.

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Main explanation

Teacher explanation

When all outcomes are equally likely, probability is found by dividing favourable outcomes by total outcomes. A bigger value means a greater chance of happening, while 0 means impossible and 1 means certain. In school problems, the sample space must be complete before you calculate probability.

Example

If a bag has 3 red balls and 2 blue balls, the probability of drawing a red ball is 3/5.

Simple analogy

Favourable over total, not favourable over favourable.

Common confusion

Students sometimes divide by the number of favourable outcomes instead of the total number of outcomes.

Exam tip

First write the sample space or total number of outcomes, then count only the favourable ones.

Answer writing and exam use

1-mark use

Write the exact meaning of probability of an event in one clean line.

2-mark use

Define probability of an event and add one example or condition.

3-mark use

Explain probability of an event, show the method or example, and mention the common mistake.

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