Key learning points

1. A Venn diagram can be used to calculate conditional probabilities
2. A Venn diagram can be used to calculate conditional probabilities involving sets of events
3. Venn diagrams allow us to identify which events are mutually exclusive
4. 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