How to approach solution to this problem:?

Your computer has been acting very strangely lately, and you suspect that it might have a virus on it. Unfortunately, all 12 of the different virus detection programs you own are outdated. You know that if your computer does have a virus, each of the programs, independently of the others, has a 0.8 chance of believing that your computer is infected, and a 0.2 chance of thinking your computer is fine. On the other hand, if your computer does not have a virus, each program has a 0.9 chance of believing that your computer is fine, and a 0.1 chance of wrongly thinking your computer is infected. Given that your computer has a 0.65 chance of being infected with some virus, and given that you will believe your virus protection programs only if 9 or more of them agree, find the probability that your detection programs will lead you to the right answer.