Jury Service: Attending against employer's wishes.

If we look at 1000 games where you join on the 1000th game and I have used the same numbers everytime then the probability of me winning once in 1000 games is 1000 times higher than you playing just one.

This is nonsense. Past results cannot effect the probability of independent chance.

I'm beginning to expect you're simply trolling.
 
your employer are assuming the worst here in that you will be doing this for several days. They may, like with me, get lucky and you may turn up only to be told you are not selected to be on the jury and again like me, be asked not to come back as there is no need for me.

I enjoyed taking some time off from work for it though. Your employer should listen to your reasoning however as its stupid for them to make you defer it only to be worse off when its even busier.

what ever you decide, good luck in court or enjoy your work and you will be seeing jury duty again soon.
 
This is nonsense. Past results cannot effect the probability of independent chance.

I'm beginning to expect you're simply trolling.

On predicting a single occurance then the probability is the same. Predicting two occurences then probabilities change. Another consideration is the selection process is only finite, there are x events that will occur before you are no longer on the list. As each event occurs then the number remaining reduces so the probability of ever being picked changes too regardless of historical events.
 
On predicting a single occurance then the probability is the same. Predicting two occurences then probabilities change. Another consideration is the selection process is only finite, there are x events that will occur before you are no longer on the list. As each event occurs then the number remaining reduces so the probability of ever being picked changes too regardless of historical events.

The selection process is infinite...
 
On that individual event we have exactly the same chance. If we look at 1000 games where you join on the 1000th game and I have used the same numbers everytime then the probability of me winning once in 1000 games is 1000 times higher than you playing just one. If i've already won the lottery then my chance of winning two times reduces to the power of 2 (multiplied by the number of events).

No, just no. Your chance of winning the lottery on the 1st or the 1000th time are exactly the same.

Let's stick with the lottery -

If I have never won the lottery, the odds of me winning twice are much worse than the chance of me winning once.

However, once I have won the lottery once, the odds of me winning a second time are the same as anyone else's.

The reason for this is that you've already won once, so that outcome is certain. It's 1/1. We're only dealing with the odds of my winning the lottery now.
 
delta0, you must be trolling. I and other and pointed out the gambler's fallacy and yet you continue to argue the point. Given you clearly didn't click the link I posted earlier I quoted it for you...

The gambler's fallacy, also known as the Monte Carlo fallacy or the fallacy of the maturity of chances, is the mistaken belief that if something happens more frequently than normal during some period, then it will happen less frequently in the future, or that if something happens less frequently than normal during some period, then it will happen more frequently in the future (presumably as a means of balancing nature). In situations where what is being observed is truly random (i.e. independent trials of a random process), this belief, though appealing to the human mind, is false. This fallacy can arise in many practical situations although it is most strongly associated with gambling where such mistakes are common among players.


In other words, flipping a coin 10 times in this sequence...

H-T-H-T-H-T-H-T-H-T

...has the exact same probability as flipping

H-H-H-H-H-H-H-H-H-H

..or any other sequence you can think of. You are no more likely to get '10 heads in a row' than '2 head in a row followed by 3 tails followed by another head then 2 more tails and finally 3 heads'.

When you've rolled your 9th head in a row, the coin has no brain so it doesn't think "wow 9 heads in a row, I better change my odds so it's more likely he gets tails next". On the 10th flip I have a 50% chance of getting a head on that flip (as I did on every flip previously).

A repetition of rare events BEFORE they occur does indeed necessitate multiplication which lowers the chance BEFORE it happens. What you are not getting is once that event has happened, then the chance of it happening again AT THAT POINT is the same and doesn't lower.

Therefore someone who has never done jury service is less likely to be called twice than once. However once they are called for it, the chance of them being called again AT THAT POINT IN TIME is the same as it was for being called the first time.

Conclusion, doing Jury service does not (assuming a random selection process) lessen your chances of being called again. You do not do it to "get it out of the way" as was implied by the OP.
 
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No, just no. Your chance of winning the lottery on the 1st or the 1000th time are exactly the same.

Let's stick with the lottery -

If I have never won the lottery, the odds of me winning twice are much worse than the chance of me winning once.

However, once I have won the lottery once, the odds of me winning a second time are the same as anyone else's.

The reason for this is that you've already won once, so that outcome is certain. It's 1/1.

I agree. What changes now is how many more times you play as this will be reducing your probability will chance over the total number of events that occurs. For a one off event the probability is always the same.
 
On that individual event we have exactly the same chance.
Agreed.

If we look at 1000 games where you join on the 1000th game and I have used the same numbers everytime then the probability of me winning once in 1000 games is 1000 times higher than you playing just one.
If you are calculating our chances of winning before the 1000 games started, then yes you have 1000 chances of winning against my one. Whether you've used the same numbers seems irrelevant though.

If i've already won the lottery then my chance of winning two times reduces to the power of 2 (multiplied by the number of events).
No... if you've won the lottery already then that is history and does not affect the probability of winning the next draw. Are you really saying that if you had won the last 999 lotteries then you'd have a lower probability than I would have winning the 1000th? (And if so, how is that consistent with the first quote above?)
 
delta0 - what odds would flipping HTTTHHHTHH get, compared to HHHHHHHHHH or TTTTTTTTTT?

In exactly that order then no difference. Each flip is linked to the one before it must occur exactly as you predict for it to occur. So the probability is (1/2)^10 = 1/1024 of those exact combinations.
 
delta0, the OP has already received a summons - the coin was flipped. The odds of him getting a second summons (the result of a second coin flip) is the same.

Prior to receiving the summons, the odds of him receving two summons were lower than receving just one.
 
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In exactly that order then no difference. Each flip is linked to the one before it must occur exactly as you predict for it to occur. So the probability is (1/2)^10 = 1/1024 of those exact combinations.

Ok, so halfway through I decided to choose the other side. After the 5th flip, I decide to reverse my next (6th) flip's prediction. What are my odds now? You can choose which pattern.
 
On that individual event we have exactly the same chance. If we look at 1000 games where you join on the 1000th game and I have used the same numbers everytime then the probability of me winning once in 1000 games is 1000 times higher than you playing just one.

The fact delta0 thinks playing the same numbers on the lottery every week affects your chances of winning (as opposed to buying a lucky dip every week) tells you all you need to know about his expertise in probabilities.
 
Agreed.


If you are calculating our chances of winning before the 1000 games started, then yes you have 1000 chances of winning against my one. Whether you've used the same numbers seems irrelevant though.


No... if you've won the lottery already then that is history and does not affect the probability of winning the next draw. Are you really saying that if you had won the last 999 lotteries then you'd have a lower probability than I would have winning the 1000th? (And if so, how is that consistent with the first quote above?)

Agree but there are multiple events occuring in future. Just one of events have the same probability.
 
The fact delta0 thinks playing the same numbers on the lottery every week affects your chances of winning (as opposed to buying a lucky dip every week) tells you all you need to know about his expertise in probabilities.

I don't play the lottery :D
 
I agree. What changes now is how many more times you play as this will be reducing your probability will chance over the total number of events that occurs. For a one off event the probability is always the same.

No, because no matter how many times you play the lottery, you've the same conditions. The odds of you rolling a six on a dice is 1/6 each time you roll it.

If your point is that if you play the lottery every week over 10 years than you have a greater chance of winning than if you play it once, then you're right. But you could have better odds by playing all of those tickets on the same occasion.

the only reason your odds of winning are "better" if you play every week, is because the odds of you winning if you don't play are 0.
 
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