ProbabilityDeep Dive

Types of Combined Events

Part of Combined EventsGCSE Mathematics

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 4 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 4

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)

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