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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.

3–7 min

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?

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Maths and statistics

When one long wait changes the average

An average wait can sound straightforward until one person waits much longer than everyone else. The mean and median offer two ways to summarize that same group. Their different responses to an unusually large value raise a practical question: what do we want an average to tell us?

5–7 min
Maths and statistics

How is random sampling different from random assignment?

A study can choose people at random, assign them to groups at random, do both, or do neither. Those choices answer different problems: who the findings may describe, and how fairly the study compares conditions.

3–5 min
Why does randomness produce so many streaks? | Speech Topic | speaking.app