Playing the Lottery!

Ralph and Zibu decide to play the lottery, where you try to pick the same six numbers (from 1-50 inclusive) as six numbers that will be selected at random. This picture shows one possible outcome (not necessarily the outcome of the lottery Ralph and Zibu are playing):

Their choices are as follows:

  • Ralph: 3, 10, 16, 22, 27, 35
  • Zibu: 1, 2, 3, 4, 5, 6

Which player has a higher chance of winning?


Image credit: http://quotesgram.com/

Ralph Zibu Neither one

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1 solution

Geoff Pilling
Dec 16, 2016

Although one is inclined to think that Ralph's choice appears much more random and therefore has a higher probability of success, each has the same probability of winning which is:

1 ( 50 6 ) = 1 15890700 \frac{1}{\binom{50}{6}} = \frac{1}{15890700}

Very low!

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