A computer is used to generate passwords made up of numbers 0 through 9 and lowercase letters. The computer generates 800 passwords one character at a time. A uniform probability model is used to predict the first character in the password.

What is the prediction for the number of passwords in which the first character is a consonant?

Round your answer to the nearest whole number.

111 passwords

222 passwords

467 passwords

646 passwords

The correct answer is 0.14.

Step-by-step explanation:

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.

your password is 12 characters long, contains uppercase and lowercase characters, a digit and a special character it may take over 15 million years for a hacker to guess your password.

i think the answer is a.( -3, -1 )