Jeremy was making $10 an hour at his summer job, but he hated the work. He decided to take a 50% pay cut to work at an easier job. He liked his new job at first, then grew bored and found another job paying 50% more than he was currently making. What was his hourly pay at the third job?
You will hang me. If they hang him, then the statement was true and they could only hang him for telling a lie. If they shoot him, then it makes the statement a lie and they were only to shoot him for telling the truth. An alternate solution is to say, “You will not shoot me,” leading to the same quandary for the killers.
Imagine an HIV test that is 95% accurate (false positive rate of 5%) and around 2% of the tested population is infected with HIV. What is the probability that you actually have HIV when your test comes back positive?