Another mistaken notion connected with the law of large numbers is the
idea that an event is more or less likely to occur because it has or has
not happened recently. The idea that the odds of an event with a fixed
probability increase or decrease depending on recent occurrences of the
event is called the gambler's fallacy. For example, if Kerrich landed,
say, 44 heads in the first 100 tosses, the coin would not develop a
bias towards the tails in order to catch up! That's what is at the root
of such ideas as "her luck has run out" and "He is due." That does not
happen. For what it's worth, a good streak doesn't jinx you, and a bad
one, unfortunately , does not mean better luck is in store.
- Leonard Mlodinow, The Drunkard's Walk: How Randomness Rules Our Lives
- Leonard Mlodinow, The Drunkard's Walk: How Randomness Rules Our Lives
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