Conditional Probability

$$\text{Pandemonium Day}$$

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Today (July 14) is Pandemonium Day! A day of utter chaos where the unexpected can happen at any moment.

The world has been thrown into chaos. Cthulhu has risen, reality is folding over itself, Adam Sandler movies are actually funny.

Being a statistician, you notice that all independent events have become dependant. So you decide to figure out the conditional probability of a dice roll given a coin flip's outcome.

You realize some new key aspects about coin flip though:

• Heads: Reality bends into itself resulting in the dice becoming two dimensional
• Tails: All odd numbers are, from here on out, squared
• Body: All even numbers, from here on out, become the number that is one above them