The probability that both of them go back to prison is 4.48%.
<h3>What is probability?</h3>
Probability is a measure of the likelihood of an event occurring.
Many events cannot be predicted with total certainty.
We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
The state recidivism rate is given by 22%.
So, the probability that both of the prisoners will go back to prison will be:
= 22% × 22%
= 0.22 × 0.22
= 4.84%
Hence, the probability that both of them go back to prison is 4.48%.