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# lottery

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As of this writing, the mega millions lottery is run in 12 states. Winning the jackpot requires that you select the correct 5 numbers between 1 and 56 and, in a separate drawing, you must also select the correct single number between 1 and 46. What is the probability of winning the jackpot?

Mar 11, 2020

#1
+286
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I don't know if the fact that the lottery is in 12 states affects the problem, so I'm just going to assume that it does not.

I'll also assume that the 5 numbers could be equal. If that is so, then the probability for 5 numbers between 1 and 56 is $$56^5$$, times the probability for the single number between 1 and 46 which is 46. Multiplying gives $$56^5 \cdot 46.$$

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Mar 11, 2020
#2
+24825
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.but you probably do not know that you cannot have the same numbers repeated in your choice of numbers....

56  *   55  *  54 * 53  *  52      *    46   = ...............

ElectricPavlov  Mar 11, 2020
#3
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oops... I tried to search it up but came up with nothing.