5/24, or five out of twenty four, or with numbers, five out of infinity
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If the letters of computer are randomly arranged in all possible ways, the probability the word begins with a vowel in five out of 26, or 0.1923. You do not need to consider any other letters, or any permutations or combinations, because you only asked about the first letter.
if you only consider the vowels to be aeiou, then the answer is that you have a 5 out of 26 (or .19%) chance.
To work out probability you have to know the number of possible options, and how many of those options meet the criteria. In this case there are 26 possible options (all the letters) and 21 that meet the criteria (21 non-vowels). The probability is the number that match divided by the total number possible. In this case it would be 21/26. This comes out to approximately 0.80769. Thus the probability that a letter picked at random is not a vowel is 0.80769
4/11
3/7