Why does randomness produce so many streaks?
A coin-toss sequence with several heads in a row can look suspiciously organized. Yet randomness does not promise neat alternation. Predicting one exact streak in advance is also a different challenge from noticing any striking pattern after a long sequence is finished.
Questions you could explore
- What counts as a streak before you see the results?
- How does the length of a sequence change the opportunities to find one?
Start reading
- NIST/SEMATECH e-Handbook of Statistical Methods1.3.5.13. Runs Test for Detecting Non-randomness
Shows how statisticians define and count runs in a sequence before judging whether its pattern is unusual.
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