Can anyone explain the following distribution to me?

[r0bHadz]

Homework Statement

(Printer). Any printer represents a single-server queuing system because
it can process only one job at a time while other jobs are stored in a queue. Suppose the
jobs are sent to a printer at the rate of 20 per hour, and that it takes an average of 40
seconds to print each job. Currently a printer is printing a job, and there is another job
stored in a queue. Assuming Bernoulli single-server queuing process with 20-second frames,
(a) what is the probability that the printer will be idle in 2 minutes?

Relevant Equations

$p_{00} = 8/9$
$p_{01}= 1/9$

Apparently the initial distribution for this problem, P_0 = ( 0 0 1 0 0 0 0 0 )

but I do not understand why there are 8 entries?

 

[Mark44]

Someone posted a similar question about 6 years ago. Maybe this will be helpful -- https://www.physicsforums.com/threads/bernoulli-single-server-queueing-process.651227/