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you are given the choice of having 100,000 lottery tickets or a $20,000 cash prize

now to simplify, the odds of matching 3 balls out of 6 is

~

**1 in 56.6**

& the prize for matching 3 balls is $10

if you used a rough calculation, you are likely to win ( just considering 3 balls )

100,000 *( 1/56.6)* 10 =

**$17,660**

if you took the option of 100,000 tickets

now, i'm asking what are the precise odds of winning $20,000 ( 2,000 winning "3 ball" tickets ) ?

i believe it may be something along the lines of

*( (1/56.6) ^ 2000 ) * (55.6/56.6) ^98000 ) * no. of ways you can ?permute/ ? combine 2000 draws amongst 100,000*

any help would be gratefully appreciated