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Step-by-step walkthrough of a technical interview question involving an application of Bayes Theorem.
Suitable for Quantitative Researcher, Quantitative Developer, Desk Quant and Data Scientist technical interviews
Question:
On the morning of January 1st, a hospital nursery has 3 boys and some girls. That night, a woman gives birth to a child and the child is placed in the nursery. On January 2nd, a statistician conducts a survey and selects a child at random from the nursery (including the newborn from the night before and every child already present from the morning of January 1st). The child picked is a boy.What is the probability that child born on January 1st was a boy?
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Question Source:
#quant #interviewquestion #interview #statistics #probability
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