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Do You Feel Lucky?

Age 11 to 14
Challenge Level Yellow star
Secondary curriculum
  • Problem
  • Getting Started
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How lotteries work:
In the UK, lottery players choose six different numbers between 1 and 49. When the lottery draw takes place, 49 coloured balls numbered from 1 to 49 are placed in a machine and spun round, and then six balls are released at random. Any player who chose the six numbers picked by the machine wins the jackpot prize. Other lotteries use similar systems, perhaps with more or fewer numbers to choose from.
 
 
Can you think of examples where future events are influenced by past events?
Can you think of examples where future events are independent of past events?

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Nine or Ten?

Is a score of 9 more likely than a score of 10 when you roll three dice?

Master Minding

Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?

Racing Odds

In a race the odds are: 2 to 1 against the rhinoceros winning and 3 to 2 against the hippopotamus winning. What are the odds against the elephant winning if the race is fair?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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