ChatterBank8 mins ago
Lottery Odds
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For more on marking an answer as the "Best Answer", please visit our FAQ.If you buy two tickets your chance of winning is two in fourteen million, and if you buy ten tickets your chance of winning is ten in fourteen million.
Phrase it how you like.
In that sense (as already mentioned) if you buy two tickets with no matching numbers then I think that you have odds of 7 million to one of having a winning ticket that matches all 6 numbers.
if you bought 2 tickets and the numbers were different you'd have a 2 in 14,000,000 or a 1 in 7,000,000 chance thats right.
think of it this way. If you bought 7,000,000 tickets with all different numbers then you would have bought half the possible numbers and therefor a 1 in 2 chance, or if you bought 14,000,000 tickets then u would have all the numbers which would give you a 1 in 1 chance
That's not right, and to answer kempie.... Using that forumla i.e. 1 ticket 1 in 14 Million, 2 tickets 1 in 7 Million.... so if you keep goin on that assumption it works out in the following way
1 Ticket = 1 in 14 Million
2 Tickets = 1 in 7 Million
3 Tickets = 1 in 3,500,000
4 Tickets = 1 in 1,750,000
5 Tickets = 1 in 875,000
6 Tickets = 1 in 437,500
..
..
17 Tickets = 1 in 106
18 Tickets = 1 in 53
19 Tickets = 1 in 26
20 Tickets = 1 in 13
21 Tickets = 1 in 6
22 Tickets = 1 in 3
23 Tickets = 1 in 1 (1.6689 to be exact)
So using that logical all you need are 23 tickets to win the lottery.
2 Tickets is a 2 in 14000000 chance this is not the same as 1 in 7000000 because there are 14000000 combinations. You can't factor down the number of combinations in this way.
Your applying fraction logic which doesn't apply in this case.
Each time you buy a ticket that doesn't EXACTLY duplicate one you already have, another of the 13,983,816 possible combinations of balls becomes a winner for you.
So:
One ticket gives you one winning combination, out of the 13,983,816 possible combinations.
Two tickets give you two winning combinations, out of the 13,983,816 possible combinations.
Three tickets give you three winning combinations, out of the 13,983,816 possible combinations.
And so on.
So your chance of winning with 2 different selections is 2 in 13,983,816 , or 1 in 6,991,908.
Your chance of winning with 3 different selections is 3 in 13,983,816 , or 1 in 4,661,272.
Note that after 2, your chance of winning does NOT double each time you buy another ticket (with 23 different selections the chance of winning is 23 in 13,983,816 , or 1 in 607,992).
Wowo thats not what i was saying. This was my theory:
1 ticket = 1 in 14million
2 tickets = 2 in 14million (1 in 7million)
3 tickets= 3 in 14million
4 tickets=4 in 14 million (1 in 3.5million)
5 tickets= 5 in 14million
14million tickets = 14million in 14million (ie 1 in 1, if you buy 14million tickets you will definitely win!)
It doesnt double the probability every time, but every time you double the number of tickets bought.