In a lottery you pick 6 numbers. Dev says picking 1-2-3-4-5-6 is foolish, because such a neat set…
In a lottery you pick 6 numbers. Dev says picking 1-2-3-4-5-6 is foolish, because such a neat set never wins; a scattered set like 4-11-17-28-33-41 is more likely. His friend says both sets have exactly the same chance. Who is right?
Who do you think is right? Pick one.
The answer: His friend is right, both sets have exactly the same chance
Why
Dev is confusing 'looks random' with 'is more probable'. The draw does not know or care whether the six numbers it pulls form a neat run or a messy spread; every specific combination of six numbers is exactly as likely as every other, including 1-2-3-4-5-6. What fools us is that there are very MANY scattered-looking sets and very FEW neat-looking ones, so 'some scattered set' wins often, while 'this exact scattered set' is just as rare as the neat one. Test: 1-2-3-4-5-6 and 4-11-17-28-33-41 are each one single combination out of the millions possible — pick either and your chance is one in that same millions. His friend is right: each exact combination is equally likely, and a set looking patterned does not lower its odds. (There is one real reason to avoid 1-2-3-4-5-6: if it did win, many other people pick it too, so the prize would be split more ways.)
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