All the probability i know is from intuition which is why I'm stuck on a question as simple as this:
In a sample of 100 people 20% are tall (over 6 feet in height) and 10% are wearing a blue shirt, what is the probability that a person chosen at random is tall and wearing a blue shirt?
At first i thought there was no solution because it could be that none of the tall people are wearing a blue shirt but then I thought what if you had to calculate the probability of choosing a tall person with a blue shirt in every possible arrangement and then take the average. Of course the 2nd option is too time consuming for a problem like this and unlikely to be the actual answer, but I thought maybe there is a quick calculation that yields the same results as option 2.
BTW I made this problem, but I saw one almost exactly like it online (not from a very credible source) so it's very possible that there is no solution (from my perspective).