This seems like a valid answer for both Master Lock and WordLock’s letter selection. It seemed like Master Lock may have been trying to make it impossible to spell curse words. Odd Letter Distribution HypothesisĪfter publishing the last analysis some members of the room escape community proposed a hypothesis about the odd letter distribution on those Master Locks: It’s on the Master Lock post if you’re interested. Analysis Methodology & Column ExplanationĪbsolutely everything about this analysis and its outputs conforms to the same information presented in the last letter lock analysis, so I won’t rehash it. The further right you move, the less useful the words generally are (and the farthest right is mostly nonsense). These are the best words that the analysis found. The left-most column contains 1,652 core English words. What Words Can This Distribution Generate? While the remaining three lines are gibberish, it’s still a nifty and thoughtful feature as the lock looks cool with all of those words on its face. ANOTE … while it does have a definition, this more looks like a word than is a word. ![]() ![]() BRIAN … if you consider a name to be a word.Second, the lock has asymmetrical disks that, when all aligned, defaults 7 of the 10 lines of the lock into words: There are two particularly interesting things about this letter distribution.įirst, the blank spot on the fifth disk (represented above with an underscore) cleverly allows the WordLock to represent 4 or 5 letter words. The fixed-disk WordLock uses the following letter configuration: There are 3 older models with somewhat different letter distributions and WordLock has other 4 disk products. This analysis is focused on the most current 5 disk WordLock model, the PL-004. This lock seems to have fewer clichéd words, but there are a few that pop up a little too often including: In light of the popularity of that post I once again worked with Rich Bragg of ClueKeeper to run the same analysis on the popular WordLock PL-004 5-Dial. They have an unusual letter distribution and I was curious how many English words could be generated with those locks. It turned out that those Master Locks could create a lot more words than I had anticipated. Therefore the probability of winning the lottery is 1/13983816 = 0.000 000 071 5 (3sf), which is about a 1 in 14 million chance.I recently published an analysis on the Master Lock 4 letter combination locks. The number of ways of choosing 6 numbers from 49 is 49C 6 = 13 983 816. What is the probability of winning the National Lottery? You win if the 6 balls you pick match the six balls selected by the machine. In the National Lottery, 6 numbers are chosen from 49. The above facts can be used to help solve problems in probability. There are therefore 720 different ways of picking the top three goals. Since the order is important, it is the permutation formula which we use. In the Match of the Day’s goal of the month competition, you had to pick the top 3 goals out of 10. The number of ordered arrangements of r objects taken from n unlike objects is: How many different ways are there of selecting the three balls? There are 10 balls in a bag numbered from 1 to 10. The number of ways of selecting r objects from n unlike objects is: Therefore, the total number of ways is ½ (10-1)! = 181 440 ![]() How many different ways can they be seated?Īnti-clockwise and clockwise arrangements are the same. When clockwise and anti-clockwise arrangements are the same, the number of ways is ½ (n – 1)! The number of ways of arranging n unlike objects in a ring when clockwise and anticlockwise arrangements are different is (n – 1)! There are 3 S’s, 2 I’s and 3 T’s in this word, therefore, the number of ways of arranging the letters are: In how many ways can the letters in the word: STATISTICS be arranged? The number of ways of arranging n objects, of which p of one type are alike, q of a second type are alike, r of a third type are alike, etc is: ![]() The total number of possible arrangements is therefore 4 × 3 × 2 × 1 = 4! The third space can be filled by any of the 2 remaining letters and the final space must be filled by the one remaining letter. The second space can be filled by any of the remaining 3 letters. The first space can be filled by any one of the four letters. This is because there are four spaces to be filled: _, _, _, _ How many different ways can the letters P, Q, R, S be arranged? The number of ways of arranging n unlike objects in a line is n! (pronounced ‘n factorial’). This section covers permutations and combinations.
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