A computer is used to generate passwords. Passwords are made up of numbers from 1–9 and lowercase letters. The computer generates passwords one character at a time. What is the probability the first character is a vowel? Enter your answer, as a decimal rounded to the nearest hundredth, in the box.

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Hello!

Well, if you do not count y as a vowel, we have 5 vowels. There are 26 letters in the alphabet, plus the 9 numbers gives us 35.

As a fraction this gives us 5/35, which is equal to 1/7. As a rounded decimal, this is about 0.14.

As a percent, this is about a 14% chance of it generating a vowel.

The answer is 0.14.

Hope this helped!

The probability that the first character is a vowel in the set of characters  is 0.14

How to determine the probability?

In a set of alphabet, we have:

Vowels = 5

Alphabets = 26

Also, we have:

Numbers = 9

So, the number of characters in the set is:

Characters = 26 + 9

Characters = 35

The probability that the first character is a vowel is:

P = Vowel/Character

This gives

P = 5/35

Evaluate

P = 0.14

Hence, the probability that the first character is a vowel is 0.14

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