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A computer is used to generate passwords. Passwords are made up of numbers from 1–6 and lowercase letters. The computer generates passwords one character at a time. What is the probability the first character is a consonant? Enter your answer, as a decimal rounded to the nearest hundredth, in the box.

Respuesta :

The answer is 0.66. I don't know how to get it do to me just doing the quiz and getting it wrong and it showing me the answer.

There are 21 consonant letters in the English alphabet. The number of characters used by the computer to generate the password is [tex] 26+6=32 [/tex].

The probability of an event A is defined as

[tex] P(A)=\frac{number \; of\; favourable\; events}{total\;number\;of\;events} [/tex].

The probability the first character is a consonant is

[tex] \frac{21}{32} =0.66 [/tex].



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