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Introductory classical probability

Mathematics — first biennium · Lesson

First year · Flex

Introductory classical probability

With equally likely outcomes, probability is favorable outcomes divided by possible outcomes. It must stay between 0 and 1.

Key idea
Formula matematica
Similar example
Formula matematica

Prerequisites: Fractions and sets

Goal: Build an equally likely sample space and calculate classical probability.

What you need to know before the exercises

In this lesson: Build an equally likely sample space and calculate classical probability.

New concept: The sample space Ω contains all possible outcomes. An event E contains only the outcomes of interest; when outcomes are equally likely, P(E)=favourable outcomes/possible outcomes.

How to proceed: List the sample space {1,2,3,4,5,6} first; then count only outcomes satisfying the event.

You can already assume: Fractions and sets.

Try it now

Build the event and calculate its probability.

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

How to reason

List the sample space {1,2,3,4,5,6} first; then count only outcomes satisfying the event.

Data / situation: Roll a fair six-sided die: an even number is rolled.

Your competency map

What you need to know for Introductory classical probability

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Current topic Strong skill Review due Needs reinforcement To be mastered Optional support

Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.

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