Compound event
Learn compound events in Grade 9 probability: two or more simple events combined, like spinning a spinner and rolling a die, with all outcomes systematically listed.
Key Concepts
Property A compound event is an event consisting of two or more simple events.
Explanation Think of this as a combo deal! A simple event is like getting just fries. A compound event is getting a burger AND fries. It’s multiple simple things happening together, like flipping a coin while also rolling a die. We then look at all the awesome combinations that can happen from that one experiment.
Examples Flipping a coin and rolling a die can result in a combined outcome like $(\text{Heads}, 5)$. Spinning a spinner with {Red, Blue} sections and flipping a coin gives outcomes like $(\text{Red, Tails})$. Drawing two cards from a standard deck can result in a compound outcome like getting a $(\text{King of Hearts}, \text{Ace of Spades})$.
Common Questions
What is a compound event in probability?
A compound event consists of two or more simple events happening together. For example, flipping a coin AND rolling a die is a compound event, producing combined outcomes like (Heads, 4).
How do you find all outcomes of a compound event?
List outcomes for each individual event, then systematically pair every outcome from the first event with every outcome from the second. A spinner with 3 sections and a 6-sided die produces 3 × 6 = 18 total outcomes.
What is the difference between a simple event and a compound event?
A simple event has a single outcome, such as flipping a coin and getting Heads. A compound event combines two or more simple events, creating paired outcomes from multiple simultaneous experiments.