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  3. Practicing Statistics Interview Questions in Python

Exercise

Bayes' theorem applied

Let's actually solve out a pretty straightforward, yet typical Bayes' theorem interview problem. You have two coins in your hand. Out of the two coins, one is a real coin (heads and tails) and the other is a faulty coin with tails on both sides.

You are blindfolded and forced to choose a random coin and then toss it in the air. The coin lands with tails facing upwards. Find the probability that this is the faulty coin.

Instructions

100 XP
  • Print the probability of the coin landing tails.
  • Print the probability of the coin being faulty.
  • Print the probability of the coin being faulty and landing tails.
  • Print and solve for the probability that the coin is faulty, given it came down on tails.