### Game of PIG - Sixes

Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?

### The Mean Game

Edward Wallace based his A Level Statistics Project on The Mean Game. Each picks 2 numbers. The winner is the player who picks a number closest to the mean of all the numbers picked.

### Epidemic Modelling

Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.

# Probably a Code?

##### Stage: 5 Challenge Level:

When cracking text-based codes, a first step is often to look for repeated strings of characters resulting from structure in the underlying cypher-text. This can give a way in to cracking the code.

Alison and Steve are considering the following coded message:

 vrucseviffsrzpvekpqmyfvfvarvfhfzecsxzvvorjbtlrkaqmcvbgyfsct nuznglyrkqsqewtauvzpievmblcciabcfvofpymgrfnpkjuszcjrjuaur idgznelhpycaoljzbjkrcqioguwavhlvflejbcuqkpkzsvmnpaxivovjjt lrqmyovtpjhfkzccrctgksiwoauvzgnvfvuabnitkfnpkjuziohqmipjv eoipivaolnwwtlgravlbwbjvfvqefpcqolfzvuwviqvlqsgvovjekuqfnr ybdqulzplcfqimctfsmevzvuqyrwmtcrebcuqmqxpqzbtfvedcpak wdlcvzubnumfaurbvorgwnlvjbjlfvivvswzqzgrvfkrjwnhgzwppgv dgycimulakakafvthabdgktnxqphgzwphfkpgyrxqqubwjghhkgcu qumnptybvorimohexitlgkpgzhequmbimxlemqupocmkafszqhqu qurwlavzxzzvpaxbjlufzkgbeipkqznhbfzvihcvzrlglinzccmpkblzv orimhvenqvolfctsrrdgtljquariqypycxwaffugaelavpagzgjruqpna rdknnkwtzgymtlfewyhauntvfkitlorvkzuvlcuqjiksveoqcriiehyda ghjvucfovecmgvlvvncipkflzrhfjqpnveequqvzuhauqpirrcvfrmm tfevokvayqvoribqkvjkqcrimfvakpgonsqvhocmisbsmkafgzqkhtb kvajipksvivbevaohlsmypgywwaroiowyviuauvxjlafugunfnvorym ccretaibuqgzhelqbokmfslrzgpakpqzrlvfpftwxlevluvyzbwkrjejhg diaubkjglkgmearuqphpfcpaepwhlgvzphycqiogrqohlkpgyruqujb mmtauvequqiwwzcfegyjyqeonkbthpkavoremgkyvipkzrgtltltcar rbjvhjipkpvtgzgzinvojmtcnkqqufkpcaevywpevwpslkpkzifgcnrk wtlaumtauvqtzrvukutvkelakzkjvkqgzpfvupfkmpasfzgcriquonct uhgzivlzpitkrebebezwupgpekaukpgzvxpvvsrxcygfnvornwtsqem xlesmhvevdkzvkmfhauucfgimckncipkavdgyovnqyrzuryvebgkop bjlsfwvvsdipauvaghevualakqelzvvvznelvorpitlflnhppzmpagfkq udlmthycnghefnfhaxmtveumcaurvfabzvfbpvugabtwotrekgauz anhofzkvhjdqfnxmypgybjlwfgcjuztfmrvtuduvvjlrdjcyxjqphyzb vsrswcajzbjovjpqsvuiatnkmuvarvgecvlkavfvqmqzaevivzabcyqu unkqxlezdgyolbubcgwupaxinsgymulpfvllpkctlfkwdlsrtullfceha ewvjbebgzgkpgpavavpzrjnlovvgmvkejppyquonctevawmtvartn tneskuqkwvorciuatvvgynkqquoplkzpfdgyveocwnjacnremcygy mrvyvbqaufagjblvvyvvavvevieojyqeonkxtlfvvvzbdipfzfvvofrzg yrhckzvkmqyopiujribcpazviauvagjevbqmgymohtemvduzkjpsr bcsygwuzvstgjnewpslsmgmsvkvlqsgcuhelgygrskutjceonjukur

Alison computes the frequency of each letter, finding these results:

 a b c d e f g h i j k l m n o p q r s t u v w x y z 85 55 72 22 73 77 85 48 61 58 90 77 61 55 55 87 80 78 41 58 94 166 44 21 53 80

After some fiddling around on a spreadsheet, Steve notices that there are seven repeated strings of 5 letters, highlighted as shown below:

Steve dismisses this as coincidence, saying "I would guess that these repeated 5-letter sequences  are consistent with randomly generated text based on these frequencies of letters". Alison is not convinced and thinks that this structure of 5 letter sequences would not likely occur randomly for these frequencies of letters.

Investigate.

Challenge: Crack the code, regardless of who is right!