Conditional probability in a Venn diagram
I can calculate a conditional probability from a Venn diagram.
Conditional probability in a Venn diagram
I can calculate a conditional probability from a Venn diagram.
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Lesson details
Key learning points
- A Venn diagram can be used to calculate conditional probabilities
- A Venn diagram can be used to calculate conditional probabilities involving sets of events
- Venn diagrams allow us to identify which events are mutually exclusive
- Venn diagrams can be used to identify which events are independent
Keywords
Venn diagram - Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.
Probability - The probability that an event will occur is the proportion of times the event is expected to happen in a suitably large experiment.
Conditional probability - Conditional probability is the probability of an outcome occurring given that another event has occurred.
Independent events - Event A is independent of event B if the probability of event A occurring is not affected by whether or not event B occurs.
Mutually exclusive - Mutually exclusive events have no outcomes in common.
Common misconception
Pupils may confuse the probability of event A given B, P(A|B), with the probability of event A and B occurring.
Use the context of the question to make a judgement about what probability is to be calculated. Try to avoid using, or draw attention to, potentially ambiguous language/notation. E.g. Is P(AB) referring to P(A given B) or P(B given A) or P(A and B)?
To help you plan your year 11 maths lesson on: Conditional probability in a Venn diagram, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Conditional probability in a Venn diagram, download all teaching resources for free and adapt to suit your pupils' needs.
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Explore more key stage 4 maths lessons from the Conditional probability unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
P(blue) -
$$27\over 60$$
P(green) -
$$33\over 60$$
P(blue and has no swirl) -
$$12\over 60$$
P(blue given it has no swirl) -
$$12\over 27$$
P(green and has a swirl) -
$$18\over60$$
P(green given it has swirl) -
$$18\over 33$$
Exit quiz
6 Questions
