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For a lottery, we need to pick 6 balls: 5 white balls labelled from {1 to 70} will be selected at random and without replacement.

For a lottery, we need to pick 6 balls:

  • 5 white balls labelled from {1 to 70} will be selected at random and without replacement.
  • 1 red balls labelled from {1 to 25} will be selected at random and without replacement.

How long, on average (in years), will it take until a given set of lottery numbers (five white balls and red ball) will be repeated in a drawing?

Now that, that drawings take place twice a week and that assume that a year has 365 days (i.e., ignore leap years). Show your work.

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