Key Facts

Part of Combined Events · Section 2 of 5

Key FactsUnit: ProbabilityGCSE

This key facts covers Key Facts within Combined Events for GCSE Mathematics. Revise Combined Events in Probability for GCSE Mathematics with 11 exam-style questions and 2 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 2 of 5 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Key Facts

  • Independent Events: One event doesn't affect the other
  • Dependent Events: One event affects the probability of the other
  • Mutually Exclusive: Events cannot happen at the same time
  • Addition Rule: P(A or B) = P(A) + P(B) - P(A and B)
  • Multiplication Rule: P(A and B) = P(A) × P(B|A)
  • For independent events: P(A and B) = P(A) × P(B)

Practice questions for Combined Events

A fair coin is flipped and a fair die is rolled. What rule is used to find P(heads AND rolling a 3)?

  • A. Add the two probabilities together
  • B. Multiply the two probabilities together
  • C. Subtract the smaller probability from the larger
  • D. Divide one probability by the other
1 markfoundation

Explain the difference between independent and dependent events in probability. Give an example of each.

2 markshigher

Quick recall flashcards

For independent events, what is P(A and B)?
P(A and B) = P(A) × P(B)
What are independent events?
Events where one event doesn't affect the probability of the other

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