Rollover/No. of Winner Probabilities at 550M annuity.Prev TopicNext Topic

• Prob988

  

  New Jersey
  United States
  Member #21,205
  September 4, 2005
  963 Posts
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  May 16, 2013, 5:24 pm

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  The Powerball Jackpot has already risen significantly since this morning and is now reported as $350.1M Cash.

  This suggests that the lottery expects to sell 392.7M for this drawing.

  The Poisson distribution for numbers of winners at this sale level for randomized tickets is as follows:

   

  k, number of winners	p(m,k)
  0	34.50%
  1	36.72%
  2	19.53%
  3	6.93%
  4	1.84%
  5	0.39%
  6	0.07%
  7	0.01%
• Prob988

  

  New Jersey
  United States
  Member #21,205
  September 4, 2005
  963 Posts
  Offline
  May 16, 2013, 5:27 pm

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  Also, because of the higher probability of multiple winners, the expectation value has fallen slightly and is now 0.93