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I would like to know and be interested to see how you calculate:

The probability of winning a lottery with 5 numbers in any order between 1 a 50 AND two numbes betwen 1 - 11

The probability of winning a lottery with 5 numbers in any order between 1 and 49 AND 1 number between 1 and 10.

THEN: the impact on probability by buying 1 or more extra tickets

Thanking you in advance

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    Since the probability of winning a lottery jackpot by buying one ticket is so low, the probability of winning with a small number $n$ of tickets will be approximately $n$ times as high, providing you do not deliberately have the same set of numbers.2012-02-19

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Lets denote total number of numbers as : $n$ , and number of numbers that can be drawn as $k$ .

If you buy only one ticket you can calculate probability using following formulae :

$P_1= \left(\binom {n}{k}\right)^{-1}$

$\text{where} : \binom {n}{k} = \frac{n!}{(n-k)!\cdot k!}$

If you buy two tickets you can calculate probability using formulae :

$P_2=2P_1=2 \cdot \left(\binom {n}{k}\right)^{-1}$

If you buy $~m~$ tickets you can calculate probability using formulae :

$P_m=mP_1=m \cdot \left(\binom {n}{k}\right)^{-1}$

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    This ignores the extra numbers on the ticket, and the second half is an approximation2012-02-19