Are you (statistically) smarter than a politican?

Time to test yourself! Give the below three questions a go, before proceeding 1. If you toss a fair coin twice, what is the probability of getting two heads? 2. Suppose you roll a 6-sided die. The rolls are: 1, 3, 4, 1, and 6. What is the mean value? 3. And what is the mode value? 4. Suppose there was a diagnostic test for a virus. The false-positive rate (the proportion of people without the virus who get a positive result) is one in 1,000. You have taken the test and tested positive. What is the probability that you have the virus?