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+ www.altyfans.co.uk » General Category » Altrincham FC First Team
 FA Trophy Draw
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Author Topic: FA Trophy Draw  (Read 10897 times)

CRT Butty

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Re: FA Trophy Draw
« Reply #15 on: November 25, 2019, 12:54:41 PM »

Farsley AWAY.
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Sarf London Alty

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Re: FA Trophy Draw
« Reply #16 on: November 25, 2019, 01:00:09 PM »

Not a terrible draw in terms of the opposition. Eminently winnable. I wonder if anyone good at maths and with time on their hands could look into the odds of getting 6 consecutive away cup draws. Getting ridiculous now.
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Bath Alty

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Re: FA Trophy Draw
« Reply #17 on: November 25, 2019, 01:03:46 PM »

Odds of 7 away draws on the trot is 1 in 128
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andrewflynn

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Re: FA Trophy Draw
« Reply #18 on: November 25, 2019, 01:13:35 PM »

(A)ltrincham FC
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One Foot in the Grave

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Re: FA Trophy Draw
« Reply #19 on: November 25, 2019, 01:29:21 PM »

(A)ltrincham FC

High time we became Altrinc(H)am FC !
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AltyRobin

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Re: FA Trophy Draw
« Reply #20 on: November 25, 2019, 02:45:13 PM »

Odds of 7 away draws on the trot is 1 in 128

Is it not still 50/50 because each draw is independent. Much like 7 tails in a row with a clip flip? Either way we are due a home draw in the cup after we win on Saturday  :)
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PukkaPieman

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Re: FA Trophy Draw
« Reply #21 on: November 25, 2019, 02:48:52 PM »

Odds of 7 away draws on the trot is 1 in 128

Is it not still 50/50 because each draw is independent. Much like 7 tails in a row with a clip flip? Either way we are due a home draw in the cup after we win on Saturday  :)

Maths not your strong point then,.. hehe.
You are right about deserving a home draw, but hey ho doesnt seem to stop us winning !
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Bath Alty

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Re: FA Trophy Draw
« Reply #22 on: November 25, 2019, 02:51:48 PM »

Odds of the next one are 50:50. We are not “due” a home draw in that sense. The odds of 7 always then a home one are exactly the same as 8 away

We’ve already had 7 away draws:
Chester, Halesowen, Southport, York twice, Portsmouth and now farsley
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hsmith1

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Re: FA Trophy Draw
« Reply #23 on: November 25, 2019, 03:55:29 PM »

some one at the FA is taking the pi55
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Harold

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Re: FA Trophy Draw
« Reply #24 on: November 25, 2019, 04:53:23 PM »

some one at the FA is taking the pi55
Some say that, others say it’s a statistical anomaly.
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Is this the way to Mickleover
I'd rather go there than Dover

Alty TV

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Re: FA Trophy Draw
« Reply #25 on: November 25, 2019, 05:56:19 PM »

Odds of 7 away draws on the trot is 1 in 128

Is it not still 50/50 because each draw is independent. Much like 7 tails in a row with a clip flip? Either way we are due a home draw in the cup after we win on Saturday  :)

It depends on how you ask the question.

Each draw is a unique event, has no memory and isn’t particularly arsed about history so as the ball is drawn from the bag (or a coin is tossed) the chance of getting home or away (or heads or tails) is the same. 50:50. Each time.

However you instinctively feel that tossing a coin 8 times and it coming up heads each time is quite rare.
Now feel free to check my maths* (never my strongest subject).

If you look at the problem as a single range of sequences (or ask what are the chances of not getting a single home tie over 8 draws), then the answer is 1:256*
Over 8 draws there are a total of 256* combinations:
AAAAAAAA
AHAHAHAH
HAAHAAHA
Etc
The chances of getting any of those 256* combinations is equal too - you have to have one of them.
But only one of those 256* combinations contains no home ties at all- the other 255* contain at least one home tie!

*my working out (for extra marks): combinations double with each draw. draw 1: 2 combinations, draw 2: 4 combinations, draw 3: 8 combinations etc.
** 8 draws: 5 FAC, 2 FAT, 1 CSC
« Last Edit: November 25, 2019, 06:04:49 PM by Alty TV »
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Hugo

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Re: FA Trophy Draw
« Reply #26 on: November 25, 2019, 06:37:47 PM »

1 in 256 is correct. There is a 1 in 2 chance of each draw being away and so the chances of 8 consecutive draws being away is 1 in 2^8=256
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Leon

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Re: FA Trophy Draw
« Reply #27 on: November 25, 2019, 06:43:53 PM »

If we’re including CSC draws, it’s only fair to point out that if we beat Stalybridge, we have been drawn at home to Vauxhall Motors.
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Alty TV

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Re: FA Trophy Draw
« Reply #28 on: November 25, 2019, 06:47:49 PM »

If we’re including CSC draws, it’s only fair to point out that if we beat Stalybridge, we have been drawn at home to Vauxhall Motors.
Why let facts get in the way of a good story  ::)

Mick

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Re: FA Trophy Draw
« Reply #29 on: November 25, 2019, 09:23:05 PM »

1 in 256 is correct. There is a 1 in 2 chance of each draw being away and so the chances of 8 consecutive draws being away is 1 in 2^8=256

True. Probability of 8 consecutive homes or 8 consecutive aways is 1:256.......about as simple as probability gets.
Becomes more complicated when calculating combinations of H&A because there are more ways of achieving the same result (as Alty TV points out)

Netherless and maths aside, so many draws away must be rare
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Anytime you have a 50-50 chance of getting something right, there's a 90% probability you'll get it wrong.
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+ www.altyfans.co.uk » General Category » Altrincham FC First Team
 FA Trophy Draw