Conditional Probability Visual Lab

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Sobre esta simulação

KiwiBee’s rebuilt classroom probability lab uses a uniform sample space and two event intervals. Change P(A), P(B) and their feasible overlap, collect reproducible random trials, and switch between the full population and a population conditioned on A or B. Exact probabilities appear beside observed sample proportions. Changing a parameter starts a fresh experiment; conditioning on a zero-probability event is explicitly undefined. Inspired by Victor Powell’s MIT-licensed Explained Visually activity, with credits to Victor Powell and Lewis Lehe.

O que os alunos podem explorar

Change the overlap and explain how the conditional denominator changes.
Add 100 trials and compare exact probabilities with sample proportions.
Set a conditioning event to zero and explain why its conditional proportion is undefined.

Objetivos de aprendizagem

1Explain conditional probability as a proportion within a restricted population.
2Distinguish P(B|A) from P(A|B).

Perguntas frequentes dos professores

Who created this activity and what is its source license?

Victor Powell; Explained Visually by Victor Powell and Lewis Lehe. Original source license: MIT. Source: https://github.com/vicapow/explained-visually. KiwiBee improves the classroom controls and experiments, retaining source credits and licenses.

What does this model simplify?

The falling balls are random samples from a simplified model. Short runs fluctuate, and a conditional probability is undefined when its conditioning event has probability zero.

How can I use the activity in class?

Use the activity controls inside the frame, or open fullscreen for a larger workspace. Ask students to predict a result, test it, and explain what changed. The embedded application starts in English; available upstream language controls are part of the original activity.

Incorporar esta simulação

Coloque no seu AVA, blog ou site da turma — de graça.

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Continue explorando

Spin a spinner, flip a coin or roll a die and watch two sets of bars: the chances the shapes predict, and the results you actually got. Ten spins prove nothing; a few hundred and the two are hard to tell apart.

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Type any function and see its shape straight away. Plot up to three at once in three colours to compare them, drag the trace point to read a value off a curve, and see where each one crosses zero.

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Move m and watch the line tilt; move b and watch it slide. Or drag the two points on the line and read the equation it writes back. A rise-over-run staircase climbs the line so slope becomes something you can count.

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Prévia de Two-Body, Three-Body & N-Body Gravity

Compare a two-body orbit with three-body figure-eight motion, then add up to twelve bodies. Change initial masses, velocities and positions; watch orbit trails and numerical energy error.

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Prévia de Riemann Sums and the Integral Simulation

Approximate the area under a curve with strips and choose how each takes its height: left edge, right edge, middle, or a sloping top. Push the strip count up and watch the error fall, with the running total plotted as its own curve.

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Do modelo ao registro

Use uma atividade para registrar previsões, observações e explicações depois que os alunos explorarem.