Coding has #100DaysOfCode. Trading needs #100DaysQuantQuest. 📈
Quantitative finance is a game of mental repetitions. I’m committing to 100 days of sharing the exact types of puzzles used to screen world-class traders and researchers.
The goal: Sharpen the edge.
The topics: Expected Value, Stochastic Processes, and Derivative Logic.
Day 1: Imagine you have a 10-sided die. You need to roll every number (1 through 10) at least once.
The challenge: What is the expected number of rolls to complete the set?
Most people guess 10 or 15. Most people are wrong.
What’s your intuition? 🧠 Drop your guess before you check the math! 👇
#Probability #MathPuzzle #Quant
Day 4: The Challenge (Citadel Interview Question):
You have 7 orbs labeled 1 to 7 hanging in a vertical stack from the ceiling.
Orb 1 is attached to the ceiling.
Orb 2 hangs from Orb 1, Orb 3 from Orb 2, and so on.
There are 6 links in total: L1 (between 1-2), L2 (between 2-3), ..., L6 (between 6-7).
At each step, one of the currently remaining links is chosen uniformly at random and cut. When a link is cut, all orbs below it fall and shatter.
What is the expected number of cuts until only Orb 1 remains?
If this clicked instantly, you’re interview-ready.
If not, welcome to the harmonic club 🙂
#QuantFinance #Brainteaser #Citadel #Probability #Math #100DaysQuantQuest
Day 4: The Challenge (Citadel Interview Question):
You have 7 orbs labeled 1 to 7 hanging in a vertical stack from the ceiling.
Orb 1 is attached to the ceiling.
Orb 2 hangs from Orb 1, Orb 3 from Orb 2, and so on.
There are 6 links in total: L1 (between 1-2), L2 (between 2-3), ..., L6 (between 6-7).
At each step, one of the currently remaining links is chosen uniformly at random and cut. When a link is cut, all orbs below it fall and shatter.
What is the expected number of cuts until only Orb 1 remains?
If this clicked instantly, you’re interview-ready.
If not, welcome to the harmonic club 🙂
#QuantFinance #Brainteaser #Citadel #Probability #Math #100DaysQuantQuest
Fun Mathematical Fact for Feb 16:
Today is the 47th day of the year.
In mathematics, 47 is a Thabit number (a number of the form 3.2^n - 1.
These numbers were studied by the 9th-century mathematician Thābit ibn Qurra to help find Amicable numbers—pairs of numbers where the sum of the divisors of one equals the other.
#Feb16 #ThabitNumber #DiscreteMath #MathHistory #AmicableNumbers #STEM #PureMathematics
Fun Mathematical Fact for Feb 16:
Today is the 47th day of the year.
In mathematics, 47 is a Thabit number (a number of the form 3.2^n - 1.
These numbers were studied by the 9th-century mathematician Thābit ibn Qurra to help find Amicable numbers—pairs of numbers where the sum of the divisors of one equals the other.
#Feb16 #ThabitNumber #DiscreteMath #MathHistory #AmicableNumbers #STEM #PureMathematics
Day 2: The Challenge (Citadel Interview Question):
You have 7 orbs labeled 1 to 7 hanging in a vertical stack from the ceiling.
Orb 1 is attached to the ceiling.
Orb 2 hangs from Orb 1, Orb 3 from Orb 2, and so on.
There are 6 links in total: L1 (between 1-2), L2 (between 2-3), ..., L6 (between 6-7).
At each step, one of the currently remaining links is chosen uniformly at random and cut. When a link is cut, all orbs below it fall and shatter.
What is the expected number of cuts until only Orb 1 remains?
If this clicked instantly, you’re interview-ready.
If not, welcome to the harmonic club 🙂
#QuantFinance #Brainteaser #Citadel #Probability #Math #100DaysQuantQuest
Day 2: The Challenge (Citadel Interview Question):
You have 7 orbs labeled 1 to 7 hanging in a vertical stack from the ceiling.
Orb 1 is attached to the ceiling.
Orb 2 hangs from Orb 1, Orb 3 from Orb 2, and so on.
There are 6 links in total: L1 (between 1-2), L2 (between 2-3), ..., L6 (between 6-7).
At each step, one of the currently remaining links is chosen uniformly at random and cut. When a link is cut, all orbs below it fall and shatter.
What is the expected number of cuts until only Orb 1 remains?
If this clicked instantly, you’re interview-ready.
If not, welcome to the harmonic club 🙂
#QuantFinance #Brainteaser #Citadel #Probability #Math #100DaysQuantQuest
Proof that math is beautiful ❤️✨
The heart curve, drawn with pure mathematics. Happy Valentine's Day to all my fellow math lovers! 💕
#MathArt#ValentinesDay
Coding has #100DaysOfCode. Trading needs #100DaysQuantQuest. 📈
Quantitative finance is a game of mental repetitions. I’m committing to 100 days of sharing the exact types of puzzles used to screen world-class traders and researchers.
The goal: Sharpen the edge.
The topics: Expected Value, Stochastic Processes, and Derivative Logic.
Day 1: Imagine you have a 10-sided die. You need to roll every number (1 through 10) at least once.
The challenge: What is the expected number of rolls to complete the set?
Most people guess 10 or 15. Most people are wrong.
What’s your intuition? 🧠 Drop your guess before you check the math! 👇
#Probability #MathPuzzle #Quant