I'll share some of the questions I got back in 1999...
You flip a single die and will paid $1 times the number that comes up. How much would you pay to play?
Suppose I let you take a mulligan on the roll. Now how much would you pay (you are pricing an option now btw)?
My batting avg is higher than yours for the first half of the season. It's also higher than your for the second half of the season.
Is it possible your avg for the full season is higher than mine?
(Simpsons paradox)
You are mid game that you have a wager on. Opponent offers to double the stakes or you automatically lose. (like the doubling cube in backgammon)
What's the min probability of winning you need to continue playing?
Your down by 2 with seconds left in regulation and have a 50/50 chance of winning a game. You have a 50% 2-pt shooter and a 33% 3-pt shooter.
Who do you give the ball to?
(simple EV question)
You are given $1,000,000 for free but theres a catch. You must put all of it into play on roulette.
What do you do?
There's a 30% chance of raining Saturday.
30% chance of raining Sunday.
What's the probability it rains at least one day?
Some risk tolerance stuff...would you bet $100 on a fair coin if you got 6-5 odds? How about $1,000?
(Just trying to see if you understand how bet sizing/edge/bankroll work. Kelly answer would have been the A+ version, but really was looking to demonstrate that you were sane)
If I think of any more I'll add them.
I also wrote a short post on aptitude last year in my Moontower musing letter...moontowermeta.com/on-trading-and…
Good luck on interviews...they are probably much harder today in the era of the internet and where everyone knows how to code
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