Infer posterior after losing pick

Q: Infer posterior after losing pick

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.

Q: How do I approach Statistics & Math interview questions?

Statistics & Math questions require understanding of core concepts and practice. PracHub provides solutions with explanations to help you master statistics & math interviews.

Question

Conditional probability after observing a loss

You have three cats in a jumping contest:

Cat 1 (most athletic) wins with probability p1
Cat 2 (middle) wins with probability p2
Cat 3 (least athletic) wins with probability p3

with p1 + p2 + p3 = 1.

You pick a cat uniformly at random (each with probability 1/3) to cheer for before the contest. After the contest, you learn that your chosen cat did not win.

Assuming your choice does not influence the outcome, what is the probability that you had picked the most athletic cat?

Infer posterior after losing pick

Conditional probability after observing a loss

Solution

Comments (0)

Infer posterior after losing pick

Overview

Conditional probability after observing a loss

Solution

Comments (0)