Compound Events & Sample Spaces
📋 What it is
A compound event combines two or more; the sample space lists all possible outcomes.
🗣️ Coach says
When two things happen together (roll two dice, flip two coins), list ALL the possible combos — that's the sample space. Counting it correctly is the key to finding the probability of the combined event.
🧠 Memory hook
Compound event = more than one thing at once. List the WHOLE sample space, then count.
😂 Giggle
What did the sample say to the population?
"I may be small, but I represent you pretty well!"
😲 Whoa!
Two dice have 36 possible outcomes, but a total of 7 is the most likely — there are six different ways to roll it.
✅ Quick check: How many outcomes are in the sample space of flipping two coins?
Say your answer out loud first — then reveal.
4 — HH, HT, TH, TT.
Each coin has 2 outcomes, and 2 × 2 = 4 combinations.
🧪 Try it! (2 minutes)
List every outcome of flipping a coin AND rolling a die (there are 12). Then count the "heads and even".