Joined: Feb '12
Location: Canada
Age: 57 (M)
Posts: 5762

...So tonight is a BIG lotto draw here in Canada for $100 Million....

...1 draw for $50 Million...

...PLUS 50 extra draws for $1 Million each...

...for a TOTAL of 51 chances to win AT LEAST $1 Million...

PRIZE PAYOUT CHART LOTTO MAX MAIN DRAW Odds of Winning* 7/7: 1 in 28,633,528

My question is...: < At 1 in $28+ million to 1 odds of getting 7/7 on ONE ticket that is essentially a 7/47 (pick 7 numbers out of 47,...they draw 7 numbers) ticket ( instead of Lotto 6/49 ),...

What,...are the ASTRONOMICAL odds of winning ALL 51 draws...?

How do you calculate that,...and is there a calculator available online to even calculate such an insanely HUGE number...?

Somebody please calculate this JUST out of curiosity...

Edited by demodawggy (Friday, June 05, 2015 @ 16:31 GMT)

Joined: Mar '09
Location: Greece
Age: 40 (F)
Posts: 10806

What is the point figuring out the odds. If you are going to play you will do it either way. Do you think, that all these people crawling to play their numbers, every time there is a jackpot thinking of the odds? Nope. The only thing they thinking of is... what if i win?

Joined: Jun '13
Location: Canada
Age: 73 (M)
Posts: 3676

I am not a math specialist but let say that you have 1 chance of 28,633,528 in your 51 tickets if you juat multiplied these figures its giving you a number that you just dont want to know. Imagine now the real formula. Just imagine its impossible and that will be enought no need of odds.

You need 50 tickets, which gives you 50/28,633,528 (assuming you number here was correct) to win the main numbers draw.

Then the other 50 draws appear to be ticket out of the hat sort of thing and without knowing the total number of tickets we can but guess.

Lets assume 30,000,000 total ticket 50/30,000,000 = 0.000166667% then 49/29,999,999 = 0.000163333% compound those two results only = 0.000000000272222231296297%

As you can see it is not looking good to claim them all, I think pochui would say "s**t show and no show" would sum it up.

However if you do win the first draw, the compounding is no longer relevant, it is the old heads and tails statistic, chances of 10 heads in a row are minimal, the chances of a head after already throwing 9 in a row is exactly 50%

The actual odds of picking 7 numbers out of 47 correctly is: 1 in 47!/(40!*7!) = 1 in 47*46*45*44*43*42*41/7! = 1 in 62,891,499

That is exactly 3 times worse than the 1 in 20,963,833 wikipedia mentions. My guess is that you get 3 chances per ticket? Don't know where you get 1 in 28 million from?

In that case you'll need 17 tickets to win 51 prizes.

Joined: Jan '13
Location: Philippines
Age: 51 (F)
Posts: 856

thats a big money certainly lotto are possible to win but when will that come in life.in our country senators are investing so much in lotto and no 1 suceed.curuptions are still at large until now.

Joined: Mar '12
Location: United Kingdom
Age: 38 (F)
Posts: 2249

Wow there are some big numbers in this question Demo.....are you planning on making a clean sweep of all the prizes? We recently had a winner in the UK who won the lottery raffle twice but that was not on the same day and I did here of a syndicate with hundreds of lines who won the top prize twice because they made a mistake on their ticket by duplicating the same lines,not so good for the other ticket holder who lost a third of the jackpot.

Joined: Mar '09
Location: Greece
Age: 40 (F)
Posts: 10806

lol marqis. I liked so much that movie and have watched it more than once of course. And that scene was funny of course, but it resembles with our actions, when we play such games, going after that one chance Couldnt give you more than 1