Question

A​ state's recidivism rate is ​22%. This means about ​22% of released prisoners end up back in prison​ (within three​ years). Suppose two randomly selected prisoners who have been released are studied. What is the probability that both of them go back to​ prison?

Answer 1

The probability that both of them go back to prison is 4.48%.

What is probability?

• 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%.

To know more about probability, visit:

brainly.com/question/14975981

#SPJ9