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Re: Re: Testing for randomnessby sandfly (Beadle) |
on Oct 29, 2003 at 22:35 UTC ( [id://303136]=note: print w/replies, xml ) | Need Help?? |
>> You can't tell from a single test if a stretch of 500 heads followed by 500 tails is non-random: you'd have to permute or at the very least replicate << The 500H,500T sequence would be extremely good evidence of a non-random generation. By my reckoning, in any one trial of 500 tosses, you have about 1 chance in 100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 (== 10**50) of throwing all heads or all tails. The odds of throwing the sequence are therefore about 1 in 10**100 - a googol. If that is not a good enough result, how would replicating the result help? You just change the odds to 1 in 10**200.
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