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Radar/Palindrome/Solid Frequency

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Author Previous TopicReplies: 12 / Views: 5,062Next Topic  
Valued Member
LaureateBust's Avatar
Canada
331 Posts
 Posted 09/19/2012  1:07 pm Show Profile   Bookmark this topic Add LaureateBust to your friends list Get a Link to this Message Number of Subscribers
The recent thread about Palindrome/RADAR notes got me wondering what the relative frequencies of special serial numbers are. I decided to write a little computer program to help answer my question and I thoughts others might be interested in the results too.

I was primarily interested in 7-digit palindromes (e.g. 1010101) since that was the number of digits in the $20 bill presented. I have some results that are relevant to RADAR note frequency (scarcity). The following points are true for serial number ranges such as AAA0000000 to AAA9999999:

- There are only 10,000 RADARs (including 0000000) or 0.1 % for a given 3-letter prefix. This means the odds of finding any RADAR note (for a given 3-letter prefix) is 1 in 1000.

- Rarity of RADAR increases with the number of unique repeating digits. The rarest is a palindrome of only one unique repeating digit, (a Solid, e.g. 1111111). The odds of finding a Solid for a given 3-letter prefix is 1 in a million (literally).

- Next is a 2-digit palindrome (e.g. 1010101). There are 270 2-digit RADARs. Similarly, there are 2430 3-digit RADARs (e.g. 1232321) and 7290 4-digit RADARs (e.g. 1357531). The sum of these four types (10+270+2430+7290) = 10,000.

In summary, for 7-digit serial numbers (including 0000000):

Overall RADAR odds: 1:1,000
4-digit RADAR oods: 1:1,372
3-digit RADAR odds: 1:4,115
2-digit RADAR odds: 1:37,037
Solid RADAR odds: 1:1,000,000

Valued Member
LaureateBust's Avatar
Canada
331 Posts
 Posted 09/19/2012  1:12 pm  Show Profile   Bookmark this reply Add LaureateBust to your friends list Get a Link to this Reply
D'Oh!! Not surprisingly someone else has already done this:

http://www.coinsandcanada.com/bank-...l-number.php

Anyway, it was fun to mess around with!
Pillar of the Community
middross's Avatar
Canada
695 Posts
 Posted 09/19/2012  2:26 pm  Show Profile   Bookmark this reply Add middross to your friends list Get a Link to this Reply
I was just going to provide you with that same link. lol.
Pillar of the Community
North of 49's Avatar
Canada
617 Posts
 Posted 09/19/2012  7:08 pm  Show Profile   Bookmark this reply Add North of 49 to your friends list Get a Link to this Reply
still it's good to be reminded that coming across a radar doesn't happen that often.

I regularly count around 200 bills a day and when I have the time I will scan them for radars etc. Over the years I have only found 10 or so worth keeping.
Yeah they are hard to come by.
Valued Member
James4444's Avatar
United Arab Emirates
242 Posts
 Posted 09/21/2012  06:11 am  Show Profile   Bookmark this reply Add James4444 to your friends list Get a Link to this Reply
Thanks for sharing ... Very interesting indeed!


Cheers
Pillar of the Community
Canada
1723 Posts
 Posted 09/22/2012  5:59 pm  Show Profile   Bookmark this reply Add samsnate to your friends list Get a Link to this Reply
Someone want my $20 4 digit Canadian radar note? Found it a few months ago....trade it for silver! Hehe. Am I alowed to do this (MODS?) or do I need to set it up in the trade section? Dont really want to sell it but thought since the topic came up it reminded me and thought I would just throw it out there as a one time deal.
Pillar of the Community
jakedacc's Avatar
Canada
1177 Posts
 Posted 09/22/2012  7:04 pm  Show Profile   Bookmark this reply Add jakedacc to your friends list Get a Link to this Reply
why have I never seen one!
Pillar of the Community
Canada
1723 Posts
 Posted 09/22/2012  7:46 pm  Show Profile   Bookmark this reply Add samsnate to your friends list Get a Link to this Reply
cuz like the OP says they are scarce. Only so many exist mathematically.
Valued Member
zzzhuge's Avatar
Canada
85 Posts
 Posted 09/22/2012  9:05 pm  Show Profile   Bookmark this reply Add zzzhuge to your friends list Get a Link to this Reply
have a bill with radar#2232322
Pillar of the Community
Canada
1723 Posts
 Posted 09/23/2012  12:16 am  Show Profile   Bookmark this reply Add samsnate to your friends list Get a Link to this Reply
nice work zzzhuge. What year and denomination is it? too bad you don't have 250 posts, because I may have entertained the idea of buying it from you. Hehe.
Edited by samsnate
09/23/2012 12:18 am
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Petersun's Avatar
Canada
1700 Posts
 Posted 09/23/2012  12:21 am  Show Profile   Bookmark this reply Add Petersun to your friends list Get a Link to this Reply
zzzhuge, what's the condition?
Pillar of the Community
Canada
1723 Posts
 Posted 09/23/2012  01:00 am  Show Profile   Bookmark this reply Add samsnate to your friends list Get a Link to this Reply
hey hey petersun...wait yer turn
Valued Member
zzzhuge's Avatar
Canada
85 Posts
 Posted 09/23/2012  7:35 pm  Show Profile   Bookmark this reply Add zzzhuge to your friends list Get a Link to this Reply
Hi Samsnate and Petersun,

The face value is $5, issue of 2006, circulation condition.
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