**Spin the random letter generator wheel and see which letter from A-Z it returns. This alphabet spinner wheel can be spun as many times as you like. The random letter results are stored in the 'Results' tab.**

**Alphabet Letters**

**It may be obvious, but here is some information about the letters above. The alphabet consists of letters. These are used to create words, which in turn make sentences. There are 26 letters in the English alphabet, although there are also different alphabets used for other languages, too. **

**Generating Random Letters**

**A random letter generator, like the one shown here, is programmed to return one letter from the 26 at random. There could be one of many purposes for which someone may need a random letter of the alphabet, as we will see below.**

**Uses of Random Letters**

**Let's look at some of the reasons that you may wish to generate a letter at random.**

**To help form a new password with random letters in it****For playing games such as Hangman****As a starting prompt for the beginning of a new word****To help with writer's block**

**Extending the Random Letter Generator Wheel**

**One of the unique features of this site is the ability to fully customise wheels and also to be able to create additional wheels on the same page. So, if you wished to create a new wheel with letters from a different alphabet, this can be done easily. To do this, click and type in the new letters into the Edit box.**

**You could also add lowercase letters to the first wheel or create a new, separate wheel with lowercase letters. The choice is yours, and the results will be chosen completely at random. Enjoy using this fully configurable online letter spinner wheel; It can be used as many times as you wish.**

**If you want to keep track of the A-Z letters that have been generated, check the 'Results' box where you can find the history of previous spins. to save your results after you have used the wheel, click Save. When this has been done, you can return to the site and continue on from where you left off and any changes to the random letter generator tool will have been retained for future use.**

**How Many Random A-Z Wheel Spins Gives a 50% Chance of Getting All 26 Letters?**

**Now here's an interesting question: If you wanted to know how many spins would get all of the 26 letters returned at least once, what is the probability of that? **

**The answer is ****94 spins**, and it can be proven mathematically. Here is how this is calculated:

**To begin, we can represent one spin with the letter "𝑛". Given that there are 26 letters in this alphabet, we can distribute 26𝑛 spins to all letters (irrespective of how many spins go to any letter).**

**To do this without representing the 𝑎 then this becomes 25𝑛 regardless of which single letter is removed. A formula that can be used to determine when the probability of all 26 letters being randomly selected at least once is 50% is as follows:**

**∑25𝑘=0(−1)𝑘(26𝑘)(26−𝑘)𝑛26𝑛**

**It is the value of 𝑛 for which this probability first becomes more than fifty per cent.**

**Below we have plotted a chart showing the increase in the probability of returning all 26 letters as the spin count increases. If you look closely, it shows that when the ****94 spins** mark has been reached, the 50% threshold is crossed.

**Try this experiment for yourself. How many spins does it take you to return all 26 letters at least once? Keep track of the letters generated in the ***Results* tab and order it alphabetically (using the *Sort* *button*) every now and again to check which of the letters that you have remaining.

**To make your test faster, we recommend adjusting the ****spin time to 1 second **and then deselecting the "*Launch popup*" checkbox in the wheel's settings area. You could also choose "none" from the sound options if that becomes too irritating.

**Before long you will be waiting for that last letter between A-Z to come up. There is a 50/50 chance that this will be when (or before) you have made your 94th spin!**

**Looking at the chart above, you can see how the probability of getting all letters from the random letter generator increases after 94 spins increases.**

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