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Mathematics · lesson 2 of 4

Probability rules

A possible result of a random process.

University8 practice questionsNotes + worked examples
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Learn the ideas

Prerequisites: High-school algebra.

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

Example 1

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

Outcome is the matching concept in this lesson.

Outcome

Example 2

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

8 questions

Decimals or fractions are accepted for numeric answers. Proofs and written responses use sample answers and require human marking. This is practice, not a protected examination.

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

Show answer and explanation

Outcome

Outcome is the matching concept in this lesson.

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

Show answer and explanation

Event

Event is the matching concept in this lesson.

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

Show answer and explanation

Conditional probability

The scenario directly calls for Conditional probability.

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

Show answer and explanation

Independence

The intended concept is Independence.

5 Which statement about Outcome is most accurate?

Show answer and explanation

A possible result of a random process.

The definition in the lesson notes gives the required condition.

6 Explain one important difference between Outcome and Event.

Sample answer and marking guidance

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.

7 Give a short example showing how Conditional probability would be used in practice.

Sample answer and marking guidance

A valid example should demonstrate this idea: The probability of an event given stated information about another event.

Credit a relevant scenario that applies the concept rather than merely naming it.

8 Summarize why Independence matters in the lesson “Probability rules”.

Sample answer and marking guidance

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

Credit the core purpose, scope and any important limitation from the notes.

Further reading and review references

These are reference links, not copied exercises, institutional endorsement or proof of independent review.