Weight each path
Let H mean heads and T mean tails, with P(H) = 2/3. HHT and THH each have chance (2/3)² × (1/3) = 4/27 in a fixed three-toss window. This equality does not decide which appears first in a longer shared sequence.
Race patterns with a biased coin
Track both patterns on one sequence and count unfinished races.
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First lesson in this subject: Count equally likely outcomes
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What next?
- Pattern races
Practice · Race coin patterns and discover why equally likely sequences can have different waiting times.
- Probability
Book · Count outcomes, update chances with new information, and compare decisions through worked examples.
- Why patterns overlap
Previous lesson · Separate a pattern’s chance in one window from the time you wait for it.
- Compare dice in pairs
Next lesson · Discover why a die can beat one rival and lose to another.