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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

" Probability is defined as the mathematical expression which represents the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Total numbers used make passwords from 0 to 9 = 10

Total lower case letters a to z =26

Number of consonant =21 letters

Total characters = 26 + 10

= 36

Substitute the value in the formula we get,

Probability first letter to consonant = 21/ 36

Therefore,

Prediction for the number of passwords out of 800 passwords first character is a consonant

= 800 × ( 21/ 36)

= 466.666..

= 467 passwords( nearest whole number)

Hence, prediction for the passwords with the probability of first character is consonant is equals to 467passwords (nearest whole number).

Learn more about probability here

https://brainly.com/question/11234923

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