Please help me with this problem using probability.

Problem 1: Conditional Probabilities. (5 points) The Prosecutor's Fallacy Treat conditional probability with great care, because the topic confuses a lot of people, even people you might expect not to be confused. One important mistake is the prosecutor's fallacy, which has a name because it's such a common error. The prosecutor's fallacy has contributed to a variety of miscarriages of justice, with real, and shocking, consequences. (~Probability and Statistics for Computer Science, David Forsyth) In a city of a million people, someone has committed a crime. According to the evidence, 10 people matched the description of the criminal. But only One of the 10 suspects were arrested. Let M be the event \"this person matches the description of the criminal\". Let I be the event \"this suspect is innocent\". Citing the \"statistical evidence\" , The Prosecutor says \"if this person were innocent, then a. match would be unlikely, thus he is guilty\"? This is a fallacy. Prove the Prosecutor wrong by answering the following. a. (2 points) Compute the conditional probability that the Prosecutor might have used to come to this conclusion. b. (2 points) What is the correct probability that we should have used instead? Compute that probability. c. (I point) What is the chance of having caught the right person