there is an interesting show i've caught on satellite which is based on a domestic lottery(adsbygoogle = window.adsbygoogle || []).push({});

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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Lottery question

**Physics Forums | Science Articles, Homework Help, Discussion**