Lottery Odds

I've never studied statistics, which might be why I am perceiving this differently.

Having 1/2 odds means that you have 1 of the 2 possible outcomes.
So if 2 unique draws were made, your number would definitely come up.

If you have 10 out of 20 possible draws, it does not equal 1/2, as 2 unique draws could still result in you winning nothing, if 2 of the numbers you don't have are drawn. If would take 11 unique draws to guarantee you a win

So in order to guarantee a win from odds of 4 in 14 million, 13,999,997 unique numbers need to be drawn.

If you change to the lowest common denominator, it becomes 2 in 7million, meaning that a guaranteed win would need 6,999,999 unique numbers to be drawn, which doesn't match the above.

No
 
Having 1/2 odds means that you have 1 of the 2 possible outcomes.
So if 2 unique draws were made, your number would definitely come up.

No, 2 draws would mean 2 attempts at 1/2, you don't just add them together. The odds for winning both attempts would be 1/4, I think the odds for winning one of them would be something like 3/4, to work that out you're supposed to calculate the odds of not winning either or both and subtract from 1 (certainty). It's been a while since I did stats and i'm meant to be working, so I can't double check :p
 
I've never studied statistics, which might be why I am perceiving this differently.

Having 1/2 odds means that you have 1 of the 2 possible outcomes.
So if 2 unique draws were made, your number would definitely come up.

If you have 10 out of 20 possible draws, it does not equal 1/2, as 2 unique draws could still result in you winning nothing, if 2 of the numbers you don't have are drawn. If would take 11 unique draws to guarantee you a win

So in order to guarantee a win from odds of 4 in 14 million, 13,999,997 unique numbers need to be drawn.

If you change to the lowest common denominator, it becomes 2 in 7million, meaning that a guaranteed win would need 6,999,999 unique numbers to be drawn, which doesn't match the above.

You're making the assumption that each time the lottery is drawn the numbers cannot be the same as any set that have previously been drawn, which is not true.
 
This reminds me about the argument I once had about the probability of 1,2,3,4,5,6 coming out as opposed to any random selection of 6 numbers ...
 
No. Having 1/2 odds means you have HALF of the possible outcomes. There might be 2 outcomes, there might be 2000000000 outcomes (in which case you would need 1000000000 tickets).

Fair enough, then this is where the idiot tax aspect comes in.

When people see something going from 1 in 14mill to 1 in 7mill, they believe that rather than having to match 1 out of a pool of 14mill, they now only have to match 1 out of a pool of 7mill, which isn't actually true.
 
Yes, your odds are slightly better putting it all on one week. In fact, you should really work out what you would be prepared to put on the lottery in your lifetime and put the whole lot on one week and never buy another ticket again but I digress.

As stated, your odds are slightly better than putting it on each week.

eg 1 ticket is 1 in 14million. If you buy one each week for 2 weeks then your odds of winning are 2 in 14 million or 1 in 7 million.

If you buy both tickets for the same week and miss the following week out then your odds of winning are 1 in 14 million plus 1 in 13,999,999 so slightly better than 2 in 14 million.

However, that is only for the jackpot. You odds of winning anything each week in the lotto is 1 in 54 (approx)

So in the above example, one ticket per week for two weeks, your chances of winning something is 2 in 54 = 1 in 27 or 3.70%

If you put both tickets on the same week your odds are 1 in 54 plus 1 in 53 = 3.73% so slightly improved.

One big tip though whichever way you do it, pick all your numbers so they are above 31. This will maximise your lottery wins when you do win as a larger proportion of people use birthdays so 1 to 12 are the most popular picked numbers followed by 13 to 31.

I did this when we ran a lottery on when 5 numbers came up our winnings were about double what the were when low numbers came up.

The only stat AFIK the lottery has ever released is that if 1,2,3,4,5,6 ever came up there would be 10,000 winners in that week so with a jackpot of say £6m, they would each get £600
 
This reminds me about the argument I once had about the probability of 1,2,3,4,5,6 coming out as opposed to any random selection of 6 numbers ...

Richard Feynman said:
You know, the most amazing thing happened to me tonight. I was coming here, on the way to the lecture, and I came in through the parking lot. And you won't believe what happened. I saw a car with the license plate ARW 357. Can you imagine? Of all the millions of license plates in the state, what was the chance that I would see that particular one tonight? Amazing!
 
You've no chance either way.

Well not really, there's always a chance :p


Seems that the people who do win usually tend to be people who lose it all in no time though :p

Apart from the last couple of Euromillions winners who seemed to be decent family people!
 
If you buy one each week for 2 weeks then your odds of winning are 2 in 14 million or 1 in 7 million.

Surely that's not true? How does the output of one draw have any affect on a subsequent draw?

Surely your odds would be 2/28Million or 1 in 14 million?
 
Haircut, What's your point?

That as humans we draw significance from certain combinations of numbers, when they're only as likely as every other combination.
Hence Feynman's tongue in cheek comment about some arbitrary registration plate somehow being significant.
 
That as humans we draw significance from certain combinations of numbers, when they're only as likely as every other combination.
Hence Feynman's tongue in cheek comment about some arbitrary registration plate somehow being significant.

Equal chance as all combinations, but imagine the hilarity if 1-6 did come out in the lotto ^^ 7 as the bonus ball for extra lulz?
 
I think what a lot of people are failing to understand is the difference between doubling your chance of winning and halving your chance of not winning.
+1.

You may have to double your chance of winning many many many times over to half your chance of losing.
 
This reminds me about the argument I once had about the probability of 1,2,3,4,5,6 coming out as opposed to any random selection of 6 numbers ...

Indeed, but you would be worse off going for that set of number due to having to share the pot with so many other people who choose this combination.
 
Another point to bring home about how unlikely you will ever win the lottery is as follows.

The odds of winning are approx 1 in 14 million.

There are less than 56 million adults in the uk.

Your odds of winning are the same as the next person to knock on your front door will be the Stig, David Cameron, Michael Caine or Ewan Mcgregor. You think that is likely?

Don't forget it has to be the next person that knocks. If your neighbour knocks first and then later today David Cameron knocks it doesn't count.

If fact, statistically, as a man, you have more chance of dating a top model than you do of winning the lottery in your lifetime.
 
'perceiving this differently'

Were you a politician in your previous life? :D

:p

What I am getting at is that buying more tickets doesn't reduce the overall number of combinations that could be drawn, just how many of those combinations you could possibly match.

When you drop something like lottery odds to the lowest common denominator, normal people believe that the overall number of combinations that could be drawn decreases, which isn't true.

If they expressed the odds in percentage form, fewer people would bother trying.
 
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