Probability - November 2005, Stage 4&5

Problems

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The Better Bet

Age 14 to 16 Challenge Level:

Here are two games you have to pay to play. Which is the better bet?

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The Birthday Bet

Age 14 to 16 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 ?

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Bet You a Million

Age 14 to 16 Challenge Level:

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

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Epidemic Modelling

Age 14 to 18 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.

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Spinners

Age 16 to 18 Challenge Level:

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

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Spread

Age 16 to 18 Challenge Level:

Given the mean and standard deviation of a set of marks, what is the greatest number of candidates who could have scored 100%?