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A preview
What a question looks like
Example questionA fair spinner has 12 equal sections: 3 red and 9 blue. What is the probability of landing on red?
Answer: 1/4
- There are 12 equally likely outcomes and 3 favorable outcomes.
- Probability = 3/12 = 1/4.
Use this practice well
First count all equally likely outcomes, then count favorable outcomes. Simplify the resulting fraction and discuss whether the event is impossible, possible, or certain.
What this develops
Find exact theoretical probabilities from visible counters, dice, and fair spinners.
A mistake to watch for
Counting only favorable outcomes in the denominator can make a probability larger than one.
Ways to use it
- Introduce favorable over total.
- Compare fractions for likely events.
- Use a fresh set to check the counting method.
Scope and limits
Models equally likely outcomes; real-world chance and experimental probability can differ.
Read our generation and answer-checking method.