# Probability - November 2005, Stage 4&5

## Problems

### Odds and Evens

##### Stage: 3 and 4 Challenge Level:

Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?

### The Better Bet

##### Stage: 4 Challenge Level:

So which is the better bet? Both games cost £1 to play. Getting two heads and two tails for £3 or £2 for every six when three dice are rolled.

### The Birthday Bet

##### Stage: 4 Challenge Level:

The next ten people coming into a store will be asked their birthday. If the prize is £20, would you bet £1 that two of these ten people will have the same birthday ?

### Bet You a Million

##### Stage: 4 Challenge Level:

Heads or Tails - the prize doubles until you win it. How much would you pay to play?

### Epidemic Modelling

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

Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.

### Spinners

##### Stage: 5 Challenge Level:

How do scores on dice and factors of polynomials relate to each other?