Which is more likely?

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Which is more likely?

Postby jhmagic1 » Jun 19th, '11, 13:18



1. At least one random person wins the lottery jackpot.

2. The numbers drawn in the lottery are 1,2,3,4,5,6

3. The same 6 numbers are drawn every week forever.

Last edited by jhmagic1 on Jun 19th, '11, 14:08, edited 3 times in total.
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Postby moonbeam » Jun 19th, '11, 13:32

I think you need to be more specific in your statements here:

When you say
1. Someone wins the lottery jackpot.
- are you saying at least 1 person wins the jackpot on the lottery; or are you being more specific and saying Mr. Smith from 23 Canterbury Road ... etc, wins the jackpot ??

3. The same numbers are drawn every week.
- are you asking that whatever 6 numbers are drawn this week - the following same 6 numbers will be drawn again next week and the following week .... and so on .... forever ???

QUESTION:
If we can sue McDonalds for making us fat and cigarette companies for giving us cancer; why can't we sue Smirnoff for all the ugly gits we've sh*gged ??
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Postby jhmagic1 » Jun 19th, '11, 13:41

moonbeam wrote:I think you need to be more specific in your statements here:

When you say
1. Someone wins the lottery jackpot.
- are you saying at least 1 person wins the jackpot on the lottery; or are you being more specific and saying Mr. Smith from 23 Canterbury Road ... etc, wins the jackpot ??

3. The same numbers are drawn every week.
- are you asking that whatever 6 numbers are drawn this week - the following same 6 numbers will be drawn again next week and the following week .... and so on .... forever ???


Questions in my original post amended.

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Re: Which is more likely?

Postby moonbeam » Jun 19th, '11, 13:51

1. One random person wins the lottery jackpot.


Okay I know I'm a pain lol - but r u saying that one random person (and ONLY one) wins the lottery or r u asking what r the odds of any random person winning the jackpot ??

QUESTION:
If we can sue McDonalds for making us fat and cigarette companies for giving us cancer; why can't we sue Smirnoff for all the ugly gits we've sh*gged ??
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Re: Which is more likely?

Postby jhmagic1 » Jun 19th, '11, 13:53

moonbeam wrote:
1. One random person wins the lottery jackpot.


Okay I know I'm a pain lol - but r u saying that one random person (and ONLY one) wins the lottery or r u asking what r the odds of any random person winning the jackpot ??


There is at least one random person that wins the jackpot one week.

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Re: Which is more likely?

Postby Tomo » Jun 19th, '11, 13:54

jhmagic1 wrote:1. One random person wins the lottery jackpot.

2. The numbers drawn in the lottery are 1,2,3,4,5,6

3. The same 6 numbers are drawn every week forever.

A lottery is not influenced by previous draws. Therefore, each scenario carries an equal probability given a large enough data population.

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Re: Which is more likely?

Postby Discombobulator » Jun 19th, '11, 14:07

jhmagic1 wrote:1. One random person wins the lottery jackpot

.. as opposed to two people winning it , or 3 ?
Still not sure what you mean by this.

jhmagic1 wrote:2. The numbers drawn in the lottery are 1,2,3,4,5,6

approx 1 in 13 million, just like any other combination of numbers.

jhmagic1 wrote:3. The same 6 numbers are drawn every week forever.

(approx 1 in 13 million) raised to the power of the number of weeks.

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Re: Which is more likely?

Postby moonbeam » Jun 19th, '11, 14:09

Tomo wrote:
jhmagic1 wrote:1. One random person wins the lottery jackpot.

2. The numbers drawn in the lottery are 1,2,3,4,5,6

3. The same 6 numbers are drawn every week forever.

A lottery is not influenced by previous draws. Therefore, each scenario carries an equal probability given a large enough data population.


I agree with you on the 1st 2, but not on the last one.
Agreed that a lottery is not influenced by previous draws, but once the draw has been made - all the following draws have to be identical. So, say for example, the numbers 2, 15, 24, 26, 35 and 48 are drawn in the first week, the odds of the following n draws being the same are 1 in 14 million to the power n.

It's a bit like rolling a die and saying what are the odds that I'll roll the same number forever. Whatever number you roll first time - you have a 1 in 6 chance of rolling the 2nd time, but the odds of rolling the same number for say the next 3 rolls (after the 1st roll) is 1 in 216.

QUESTION:
If we can sue McDonalds for making us fat and cigarette companies for giving us cancer; why can't we sue Smirnoff for all the ugly gits we've sh*gged ??
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Re: Which is more likely?

Postby Tomo » Jun 19th, '11, 14:22

moonbeam wrote:Agreed that a lottery is not influenced by previous draws, but once the draw has been made - all the following draws have to be identical. So, say for example, the numbers 2, 15, 24, 26, 35 and 48 are drawn in the first week, the odds of the following n draws being the same are 1 in 14 million to the power n.
And that's a sufficiently large data population. I couldn't be bothered to work out how big. It's Sunday. The Goons are on :D

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Postby Lawrence » Jun 19th, '11, 20:54

Would you like actual figures?

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Postby Tomo » Jun 19th, '11, 21:09

Lawrence wrote:Would you like actual figures?

Rather!

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Postby Lawrence » Jun 20th, '11, 08:44

Tomo wrote:
Lawrence wrote:Would you like actual figures?

Rather!


Well you can only really answer point 2 as further conditions would need to be know for 1 and 3.
And I'm sure we all know the answer for 2 already.

be it:
1. how many people are playing?
3. Define "forever"

If I can make my own conditions then either of these can be damn close to 1 (or 0)

Graphs would probably be the best way to demonstrate 1 and 3 but I don't have the time to make them at the moment.

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Postby V.E. Day » Jun 20th, '11, 09:00

I don't understand Question 1 - a random person winning the jackpot is the whole idea of the game isn't it?.

And Question 2 is the same as Question 1 - six random numbers come out that match a previously selected list of numbers - that's the whole idea of the game isn't it?


I dunno about Question 3 as I don't play it every week.

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Postby TheStoner » Jun 20th, '11, 11:06

Question 1 - this happens every week doesn't it?

Question 2 - 1 in 14 million (approx)

Question 3 - impossible, the lottery itself won't go on "forever"

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Postby Alec Burns » Jun 20th, '11, 11:40

May I ask what the point of these questions are? Are you putting together a gambling routine and just needed help with the math?

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