Below is a picture of my grandson Alec’s NCAA bracket. Note
that he predicted that UConn would beat Kentucky in the finals. Hooah!! But his
bracket was not quite perfect – he only got 32 out of the 63 picks right. Nevertheless this placed him
at #15 in his group of 132,787.
The top 20 brackets in the Quicken Billion Dollar Bracket
Challenge each won $100,000. The winner had 49 correct picks and #20 had 44
correct picks.
It all sounds so close to perfection (49/63 = 78%), but the reality
is that even the top bracket had miles to go before he made it.
Imagine if you got the first 49 out of 63 games right. You still had 14 picks to go. If you had a 60% probability of being right on
the rest of the games then your odds of getting it 100% right would be .6 to
the 14th power which is .0784%, or just shy of 8 in 10,000.
Quicken got plenty of buzz for sponsoring the contest. One writer estimated that they had received over
a billion social media and PR impressions. We never heard what they paid Warren
Buffet to insure the perfect bracket (I would love to know). But it took the Oracle of Omaha about 10 to
15 minutes to do the calculations and accept the deal. He said: “I hope I did
it right.”
And of course the grand prize of $1 billion would be awarded
over 20 years. If you wanted it all up-front, you would receive a mere $500
million. And Buffet didn’t even figure that it would cost him that much. He said that if someone went into the final
game on Monday, April 7 with a perfect bracket.
If you won the final game you would receive $500 million (less a small
cut for Uncle Sam). If you had a 50% chance of being right (if you had Kentucky
to win, you were better than that since they were a two and a half point
favorite) then the expected value of your position was 50% X $500 million or
$250 million. But you would have received a phone call from Warren that morning
offering you perhaps a deal where he bought out your bracket right then in
exchange for a check for $100 million. My guess is that 95 out of a hundred
Americans would take Buffet’s offer in a heartbeat. So really Buffet was only at risk of losing $100 million and not $1 billion.
If one randomly completed a bracket with a 50% chance of getting any one pick
correct, the odds were 1 in 9.2 quintillion (that is a million trillion) of ending up with a perfect bracket. Of course the early picks should be a bit
easier than the later ones. When #1 Wichita State faced off against my old school
#16 Cal Poly, you had pretty good odds if you bet on the favorite. But favorites inevitably fall and they fell
at a regular pace throughout the rest of the tournament.
It was a fun tournament and a terrific promotion but any
time that Warren Buffet wants to lay off a tiny slice of his action, I’m all
ears.
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