The expected number of seconds it will take Herman to break into (or hack) some account on the machine is 1.1 seconds. (Option A) See the explanation below.
<h3>What does it mean to hack a machine?</h3>
The act of subverting digital systems and networks by gaining unauthorized access to a computer system or account is a popular definition of hacking.
Although hacking is not always harmful, it is most frequently linked to online crime and data theft by cybercriminals.
<h3>What is the explanation for the above answer?</h3>
With 10,000 login names available, we can assume that 100 of them are accurate, as the question suggests.
The likelihood of receiving the proper login name is therefore
P 1 = 100 10,000
P1 = 0.01
In the same vein, among 100,000 password we can assume that only 100 are correct, therefore, the probability of getting the right password is.
P 2 = 100 ÷ 100,000
P2 = 0.001
That that where the probability of success on any given try is p, then the expected number of tries until the first success is exactly 1 ÷ P.
Therefore, the expected number of trials before the first successful login name is = 1÷ P11
= 1 ÷ 0.01
= 100
The above also works for the password:
1÷ P2
= 1 ÷ 0.001
=1000
Therefore, it will take 100+ 1000 = 1100 attempts to finally get the initial login name and password.
Given that Henrietta created programming that allows this computer to try 1000 logins every second.
Therefore, 1100 x 1000 sec = 1.1 sec is the anticipated time it will take Henrietta to gain access to a machine account.
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