“Rafa Nadal and I have an average of 5 French Open titles.”
That is a quote I'm going to have to remember. Should come in handy often.
Wayne and Brent Gretzky hold the National Hockey League record for most combined points by two brothers:
Wayne Gretzky with 2,857, Brent Gretzky with 4.
Who were the most successful NHL brothers? Wayne Gretzky and whoever Wayne Gretzky's brother was.
I've also heard a nerdier variant:
Who was the most influential father-son pair in mathematics? Gauss and whoever Gauss's father was.
Sutters, arguably.
http://www.washingtonexaminer.com/actually-the-average-famil...
With 10,000 seated people, $200.
https://www.google.com/search?q=90.2+billion+%2F+30000&oq=90...
If the average net worth of a US citizen is $100,000 (it's less, but I'll go with that), and Gates has a net worth of $90 billion, and the average net worth of those people goes up $1M:
average worth = aw = 100000
n people
total worth = aw * n
Bill Gates comes in:
total worth' = aw * n + 90000000000
aw' = (aw * n + 90000000000)/(n+1)
difference = aw' - aw
= (aw * n + 90000000000)/(n+1) - aw * n = 1000000
= (100000 * n + 90000000000)/(n+1) - (100000 * n) = 1000000
=> n ≈ 944 people in the bar
Big bar.
If they were millionaires already, then only 300 people are needed. If they were billionaires, only about 30.
> difference = aw' - aw
> = (aw * n + 90000000000)/(n+1) - aw * n = 1000000
n * aw + 90 * 10^9 = (n + 1) * (aw + 10^6)
n * aw + 90 * 10^9 = n * aw + n * 10^6 + aw + 10^6
90 * 10^9 - (10^6 + aw) = n * 10^6
n = 89999 - aw / 10^6
That doesn't sound right. What if the population of the bar is as wealthy as Gates? The average net worth should change if you add another value equals to all the previous ones. Am I reading something wrong?
My point is that you can't find 90000 people who are as wealthy as Gates. In fact, you can't find 90000 people whose average wealth comes anywhere close to Gates -- even the Forbes 400 average out at a paltry $6.7B, and you'd need to stock the bar with 83300 people with that level of wealth before Gates would fail to raise the average wealth by $1M.
I think the average wealth among the top 90000 people is around $100M, so you'd need to have around 89900 of them... plus or minus a few thousand depending on how the stock market is doing on any particular day.
Thanks for pointing out the error.