# Randomness - June 2008, Stage 4&5

## Problems

### Distribution Differences

##### Stage: 4 Challenge Level:

How could you compare different situation where something random happens ? What sort of things might be the same ? What might be different ?

### Introducing Distributions

##### Stage: 4 Challenge Level:

When five dice are rolled together which do you expect to see more often, no sixes or all sixes ?

### Coin Lines

##### Stage: 4 Challenge Level:

If a coin rolls and lands on a set of concentric circles what is the chance that the coin touches a line ?

### Which Spinners?

##### Stage: 4 and 5 Challenge Level:

Can you work out which spinners were used to generate the frequency charts?

### The Monte Carlo Method

##### Stage: 5 Challenge Level:

Estimate areas using random grids

### Data Matching

##### Stage: 5 Challenge Level:

Use your skill and judgement to match the sets of random data.

### Random Squares

##### Stage: 5 Challenge Level:

What is a random pattern?

### Scale Invariance

##### Stage: 5 Challenge Level:

By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.

### Random Inequalities

##### Stage: 5 Challenge Level:

Can you build a distribution with the maximum theoretical spread?