Dependent

Definition

Events are dependent if the outcome or occurrence of the first affects the outcome or occurrence of the second. In probability, dependency changes how probabilities are calculated.

5 Must Know Facts For Your Next Test

1. The probability of dependent events is calculated by multiplying the probability of the first event by the conditional probability of the second event.
2. In a tree diagram, dependent events create branches where subsequent probabilities change based on previous outcomes.
3. When using tables for dependent events, joint probabilities must consider prior occurrences.
4. Outcomes in sequences of trials can be dependent if past results influence future possibilities.
5. Real-life examples of dependent events include drawing cards from a deck without replacement and successive outcomes in games.

Review Questions

• How do you calculate the probability of two dependent events?
• What distinguishes a dependent event from an independent event in a tree diagram?
• Can you provide an example where two events are clearly dependent?

Related terms

Independent Events: Probability that remains unaffected by previous outcomes or occurrences.

Conditional Probability: The likelihood of an event occurring given that another event has already occurred.

Joint Probability: The probability of two or more events happening at the same time and is used prominently with both independent and dependent events.