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Hard · Conditional Probability · Quant Trader interview question · conditional-probability, bayes-theorem, probability, mental-math
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.