ProbabilityDeep Dive

Types of Combined Events

Part of Combined Events · GCSE GCSE Mathematics revision

This deep dive covers Types of Combined Events 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 3 of 5 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 5

Practice

11 questions

Recall

2 flashcards

Types of Combined Events

1. Independent Events

Example: Rolling a die and flipping a coin

P(6 and heads) = P(6) × P(heads) = 1/6 × 1/2 = 1/12

2. Dependent Events

Example: Drawing two cards without replacement

P(2 hearts) = P(1st heart) × P(2nd heart|1st heart) = 13/52 × 12/51 = 1/17

3. Mutually Exclusive Events

Example: Rolling a 3 or a 5 on a die

P(3 or 5) = P(3) + P(5) = 1/6 + 1/6 = 1/3

Keep building this topic

Read this section alongside the surrounding pages in Combined Events. That gives you the full topic sequence instead of a single isolated revision point.

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

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

11 questions on Combined Events — practise free

Instant marking, adaptive difficulty, and 2 spaced repetition flashcards. Free until your GCSEs.

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