### Game of PIG - Sixes

Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?

### Distribution Maker

This tool allows you to create custom-specified random numbers, such as the total on three dice.

### The Random World

Think that a coin toss is 50-50 heads or tails? Read on to appreciate the ever-changing and random nature of the world in which we live.

# Scale Invariance

##### Stage: 5 Challenge Level:

Don't forget that probability distribution functions must integrate to $1$ over the allowed range of values.

Try changing variables for the first part.

For the second part, note that clearly $x^2\rightarrow (ax)^2 \neq a(x^2).$

How could you make the two sides match for other powers of $x$?