In the Mathsland Lottery, 49 balls are numbered 1 to 49 and 6 balls are chosen at random without replacing any of the balls so that 6 different winning numbers are chosen.

Each lottery ticket has 6 numbers and you win a top prize if your 6 numbers match the  6 numbers chosen that week.

What is your chance of winning the top prize? Is buying lottery tickets a waste of money?

If the problem seems difficult, a good problem solving technique is to try simple cases. The Lucky Numbers problem provides a simple case to try.
Click here to download AIMSSEC-Teacher-Notes-MATHSLAND-LOTTERY
You can experiment by changing the numbers of balls in the interactivity on the NRICH website at: http://nrich.maths.org/7238

 

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