Arandomly generated password contains four characters. each of the four characters is either a lowercase letter or a digit from 0–9. each character in the password cannot be used more than once. what is the approximate probability that exactly one of the four characters will be a number? 1% 11% 28% 44%

The probability that exactly one of the four characters will be a number is 44%.

Step-by-step explanation:

Given : A randomly generated password contains four characters. Each of the four characters is either a lowercase letter or a digit from 0–9. Each character in the password cannot be used more than once.

To find : What is the approximate probability that exactly one of the four characters will be a number?

Solution :

Each of the four characters is either a lowercase letter or a digit from 0–9.

Sample space is

Now, we want to know all of the combinations that have 1 digit in it.

Let the characters X,

1XXX, X1XX, XX1X, XXX1

But we have 10 different digits to choose from.

So let combinations

where, n is a list of all digits and r is how many we want.

Now, we need for the number of digits.

To choose three lowercase,

It becomes

The probability that exactly one of the four characters will be a number is

In percentage,

Therefore, The probability that exactly one of the four characters will be a number is 44%.

12/11c

or

12

c

11

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which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )