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# Question

Topic closed. 1 reply. Last post 10 years ago by johnph77.

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United States
Member #16612
June 2, 2005
3493 Posts
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 Posted: February 28, 2007, 11:38 pm - IP Logged

What are the odds of having all 5 numbers and the bonus ball equal to California Super Lotto Plus [5/47+1/27] from Mega Millions [5/56+1/46] and Powerball [5/55+1/42]? Note all 5 numbers have to be less than or equal to 47 and the mega bonus ball has to be less than or equal to 27. I need to know the exact percentage to answer my math question.

CA
United States
Member #2987
December 10, 2003
832 Posts
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 Posted: March 1, 2007, 10:27 am - IP Logged

Any set of numbers CA SLP can generate is capable of being duplicated in PB and MM. Therefore the limiting factor is CA SLP. The tone of your question does not specify that the numbers drawn in CA SLP have to be a specific set, so the odds of getting any specific combination in that game can be eliminated and the numbers drawn in both PB and MM must meet the smaller matrix requirements of CA SLP.

Formula for total PB possibilities, whether within the CA SLP matrix or not: ((55!/50!)/(5!))x42 = 146,107,962 possibilities.
Odds of any specific combination: 1::146,107,962.

Formula for total MM possibilities, whether within the CA SLP matrix or not: ((56!/50!)/(5!))x46 = 175,711,536 possibilities.
Odds of any specific combination: 1::175,711,536.

The odds of both PB and MM hitting any combination generated by CA SLP is simply a product of the odds of each game, or 1::25,672,854,424,849,632.

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But I see the word "percentage" in your post, so that leads me to think that there may be more to the question than the above.

Formula for total CA SLP possibilities: ((47!/42!)/(5!))x27 = 41,416,353 possibilities.

Formula for the percentage of PB draws that will have all numbers drawn fall within the CA SLP 47/27 matrix: 41,416,353/146,107,962, or 28.346404%. Odds? 1::3.527784.

Formula for the percentage of MM draws that will have all numbers drawn fall within the CA SLP 47/27 matrix: 41,416,353/175,711,536, or 23.570651%. Odds? 1::4.242564.

The possibility of both PB and MM having all numbers drawn fall below 47/27 would be a product of the raw numbers above - 0.28346404 x 0.23570651, or 0.06681432. Percentage? 6.681432%. Odds? The reciprocal of the raw product, and/or the product of the above odds, or 1::14.966852.

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gl

j

Blessed Saint Leibowitz, keep 'em dreamin' down there.....

Next week's convention for Psychics and Prognosticators has been cancelled due to unforeseen circumstances.

=^.^=

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