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Mathematics · University

Probability rules

A possible result of a random process.

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Prerequisites

High-school algebra.

Study notes

Outcome

A possible result of a random process.

Event

A set of one or more outcomes.

Conditional probability

The probability of an event given stated information about another event.

Independence

A relationship where knowing one event occurred does not change the probability of the other.

Worked examples

Which term best matches this description: A possible result of a random process.

Outcome is the matching concept in this lesson.

Outcome

Which term best matches this description: A set of one or more outcomes.

Event is the matching concept in this lesson.

Event

Check your understanding

  1. Which concept would you apply first in a situation where the probability of an event given stated information about another event.

    1. Conditional probability
    2. Event
    3. Outcome
    4. Independence

  2. Name the concept described as: A relationship where knowing one event occurred does not change the probability of the other.

  3. Which statement about Outcome is most accurate?

    1. A possible result of a random process.
    2. A set of one or more outcomes.
    3. A relationship where knowing one event occurred does not change the probability of the other.
    4. The probability of an event given stated information about another event.

  4. Explain one important difference between Outcome and Event.

Answers and marking guidance

Answers and marking notes
  1. Conditional probability

    The scenario directly calls for Conditional probability.

  2. Independence

    The intended concept is Independence.

  3. A possible result of a random process.

    The definition in the lesson notes gives the required condition.

  4. Outcome: A possible result of a random process. Event: A set of one or more outcomes.

    Credit a clear distinction using both definitions and an appropriate example if supplied.

Further reading and review references

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