Infer posterior after losing pick
SIG (Susquehanna)Data Scientist · Online Assessment
Last updated
This question evaluates a candidate's understanding of conditional probability and posterior inference, assessing the ability to update probability estimates after observing that a chosen option did not occur.
Three cats compete in a jumping contest. The most athletic cat wins with probability p1, the middle cat with probability p2, and the least athletic cat with probability p3, where p1 + p2 + p3 = 1. You pick a cat uniformly at random to cheer, but your chosen cat does not win. What is the probability you picked the most athletic cat?
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