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.