Bob cruise director wrote: Sat Dec 18, 2021 12:03 pm
Chantellebeal wrote: Sat Dec 18, 2021 9:43 am
Thanks! I am just wondering about the odds of ever winning a mug.....
@Chantellebeal Your odds are better than winning the lottery but don't plan on having a mug for the holidays. And they are not getting better because the WSJ has more submissions. From the beginning of the contests the average number of correct answers is 992. Over the past 52 weeks, the average number of correct answers is 1181.
So ballpark, your odds are about 1 in 1000. Given that there are 52 contests in a year, that means that might win a mug every 20 years (not mathematically rigorous but good enough)
More rigorously, assuming that you solve the meta every week, that the probability is 999/1000 that you will not win the mug in a week given that you have solved the meta, and that winners are chosen randomly, and accounting for 52 weeks in a year, then the probability is (999/1000)^52 or about 0.949 that you will not win the mug in a year, so you have about a 5% chance of winning the mug in a given year if you solve all the metas that year.
You have a 50% chance of winning a mug if you solve every meta for 693 weeks (13+ years).
You have a 65% chance of winning a mug if you solve every meta for 1040 weeks (20ish years).
You have a 95% chance of winning a mug if you solve every meta for 2995 weeks (57+ years).
Can we agree that we're here for the company?