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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

Sagot :

Answer:

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.

The prediction for the number of passwords in which the first character is a consonant is 467 option third is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A computer is used to generate passwords made up of numbers 0 through 9 and lowercase letters.

The first character has 36 possible outcomes:

= 26 + 10

= 36

Number of consonants = 26 - 5 = 21

Probability = 21/36 = 7/12

Passwords = (7/12)800 = 466.66 ≈ 467

Thus, the prediction for the number of passwords in which the first character is a consonant is 467 option third is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

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