Mathematics Can Reveal The Chances Of Winning Lottery.

Mathematics Can Reveal The Chances Of Winning Lottery.

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“Can you use mathematics to win the lottery?  Sure you can!

“Can you use mathematics to win the lottery?  Sure you can! 

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Buying a single ticket increases your chances of winning from “impossible” to “improbable”, which as any mathematician will attest, is a huge improvement in odds.

Buying a single ticket increases your chances of winning from “impossible” to “improbable”, which as any mathematician will attest, is a huge improvement in odds. 

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If you buy a second ticket, you are doubling your chances of winning, so if the odds are 1 in 200 million, buying a second ticket doubles them to 2 in 200 million, or 1 in 100 million.

If you buy a second ticket, you are doubling your chances of winning, so if the odds are 1 in 200 million, buying a second ticket doubles them to 2 in 200 million, or 1 in 100 million. 

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Every time you double the amount of tickets, you also double your chances of winning: 4 = 1:50,000,000 8 = 1:25,000,000 16 = 1:12,500,000 32 = 1:6,250,000 64 = 1:3,125,000 128 = 1:1,562,500 256 = 1:781,250 512 = 1:390,625 1,024 = 1:195,312.5 2,048 = 1:97,656.25

Every time you double the amount of tickets, you also double your chances of winning: 4 = 1:50,000,000 8 = 1:25,000,000 16 = 1:12,500,000 32 = 1:6,250,000 64 = 1:3,125,000 128 = 1:1,562,500 256 = 1:781,250 512 = 1:390,625 1,024 = 1:195,312.5 2,048 = 1:97,656.25

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It keeps going; if you buy 100 million tickets, you have a 1-in-2 chance of winning, and if you buy all 200 million combinations, you are guaranteed to win... but at $2 each ticket, you will have spent $400 million in the process, plus thousands of man-hours to buy the tickets. To be viable, the prize must be greater than $400 million, preferably multiples of $400 million, like $800 million or $1.2 billion.

It keeps going; if you buy 100 million tickets, you have a 1-in-2 chance of winning, and if you buy all 200 million combinations, you are guaranteed to win... but at $2 each ticket, you will have spent $400 million in the process, plus thousands of man-hours to buy the tickets. To be viable, the prize must be greater than $400 million, preferably multiples of $400 million, like $800 million or $1.2 billion. 

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The reason it should be in multiples is to account for the possibility that other people hit the winning number combination; if you do this when there is less than $400, you will not break even at any point; at $400 million, you barely break even; after the cost of the tickets, you will have only a few dozens of millions from all the winning partial combinations, not enough to justify the expense in manpower (one person certainly cannot pull this off alone in one lifetime).

The reason it should be in multiples is to account for the possibility that other people hit the winning number combination; if you do this when there is less than $400, you will not break even at any point; at $400 million, you barely break even; after the cost of the tickets, you will have only a few dozens of millions from all the winning partial combinations, not enough to justify the expense in manpower (one person certainly cannot pull this off alone in one lifetime). 

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It the prize is one billion or more, your profits vanish if two other people hit the winning combination... making the investment of $400 million quite risky.

It the prize is one billion or more, your profits vanish if two other people hit the winning combination... making the investment of $400 million quite risky. 

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If you were asking about numerical analysis; the process is random; there are no patterns to study to increase your chances, no card-counting, no number-tweaking, just raw muscle-through probability.

If you were asking about numerical analysis; the process is random; there are no patterns to study to increase your chances, no card-counting, no number-tweaking, just raw muscle-through probability. 

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But you know what? I still buy a single $2 Powerball ticket twice a week; I will take my chances with “improbable”... it is still a heck of a lot better than “impossible”.

But you know what? I still buy a single $2 Powerball ticket twice a week; I will take my chances with “improbable”... it is still a heck of a lot better than “impossible”. 

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