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