The California License Plate Game
" The California License Plate Game ", or " Count to 24 ", is something I play while I am driving, particularly when stuck in traffic. As you could see, the general California license plate, showing above, is made of " nXXXnnn" , where n is a number between 0 to 9 and X letter from A to Z. The game is to calculate to 24 with those 4 numbers by only using + - x /. For example. the 4 numbers above [6 2 4 4], could arrive 24 as 2 *(6+4) + 4. Of course, there are certainly license plates that is impossible to do so, such as [6 2 5 0]. For a long time, I have been wondering what is the overall probability for a license plate to be able to count to 24 and also want to have answers for each and every possible ones. Finally this is the result of a script I ran: https://github.com/a10jliu/licenseplategame/blob/main/Results . Here are the results: 0.6902 The probability of a license place could count to 24. That is 6902 among the total 10000 possible c...