I love the end of year contests. There’s lots of activity on the site, the prizes are awesome and, even on a day when there are over 1000 entries, I feel like I have a reasonable chance to win. Even though I didn’t qualify for day 3, I really like the way the grand prize was handled. I respect the reward for loyalty.
So here’s my quiz: Assume there were 1500 entries on day 1; 300 on day 2; and 25 on day 3. One contestant will be chosen as a winner on each day, and each of those contestants will have a 1 in 3 chance of claiming the prize. If you qualified to enter all 3 days, what is the probability you will win? (Assume, also, that 3 different winners were drawn on the 3 days of the contest.)
I know – you hated your statistics class. But sometimes it can have practical applications.