Theoretical probability

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In a Box

Age

14 to 16

Challenge level

2 out of 3

Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?
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The Birthday Bet

Age

14 to 16

Challenge level

2 out of 3

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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Same Number!

Age

14 to 16

Challenge level

2 out of 3

If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?
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Mathsland National Lottery

Age

14 to 16

Challenge level

2 out of 3

Can you work out the probability of winning the Mathsland National Lottery?
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Which Spinners?

Age

14 to 18

Challenge level

1 out of 3

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

Age

16 to 18

Challenge level

1 out of 3

It is believed that weaker snooker players have a better chance of winning matches over eleven frames (i.e. first to win 6 frames) than they do over fifteen frames. Is this true?
problem
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Teams

Age

16 to 18

Challenge level

1 out of 3

Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.
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Stats Statements

Age

16 to 18

Challenge level

1 out of 3

Are these statistical statements sometimes, always or never true? Or it is impossible to say?
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Rain or Shine

Age

16 to 18

Challenge level

2 out of 3

Predict future weather using the probability that tomorrow is wet given today is wet and the probability that tomorrow is wet given that today is dry.
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Put Out

Age

16 to 18

Challenge level

3 out of 3

After transferring balls back and forth between two bags the probability of selecting a green ball from bag 2 is 3/5. How many green balls were in bag 2 at the outset?