Boy/Girl Paradox (Tuesday Edition) - Quant Trader Interview Question
Difficulty: Hard
Category: Conditional Probability
Practice quant interview questions from top firms including Jane Street, Citadel, Two Sigma, DE Shaw, and other leading quantitative finance companies.
Topics: conditional-probability, bayes-theorem, probability, mental-math
Problem Description
A colleague mentions they have two children. They then state that one of their children is a boy born on a Tuesday. Assuming that births are equally likely to occur on any day of the week and that gender is independent of the day of birth, what is the probability that their other child is also a boy?
Assume:
- Equal probability of having a boy or a girl.
- Independence between the gender and day of the week a child is born.
- The two children are not twins.
Practice this hard trader interview question on MyntBit - the all-in-one quant learning platform with 200+ quant interview questions for Jane Street, Citadel, Two Sigma, and other top quantitative finance firms.