Sunday, 19 February 2012
Friday, 17 February 2012
Decision Time: A Classic d6 Moment
The video clip will show where you might bump into me on Saturday ... it's a foam-and-gravity decision this week for Modus Hopper Random.
It's random!
It's random!
Thursday, 16 February 2012
Welfare Fare Well on the Road to Wembley
Hopperational details
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Date &
Venue
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Wednesday
15 February 2012 at Inkersall Road
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Result
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Staveley Miners Welfare 2 Oadby Town
0
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Competition
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FA Vase
Round 5. Both clubs are going well in
their respective leagues, the Northern Counties East Premier (step 5) and the
East Midlands Counties (step 6).
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Hopping
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Ground
number 450 on the lifetime list and a chance to good to miss – a midweek
rearrangement of a postponed tie.
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This match in one sentence
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The home
side’s task was made easier by a fluffed goalkeeper’s clearance meaning they
could defend the latter stages with the comfort of a two-goal cushion, and
the keeper’s earlier penalty-saving heroics went to waste.
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So what?
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Staveley MW
go into the last eight of this competition for the first time in their
history where they will host the winners of the St Ives v Gresley tie. Oadby Town will now, in the words of the
clichĆ©, “concentrate on the league” where they are seeking to bounce back to
step 5 at the first time of asking.
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Something
random
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My eye was
caught by the programme’s assertion that Staveley have been drawn at home only 3
times out of the last 16 FA Vase ties over the last eight seasons. I had to check this out of course, so here
is a mathematical diversion despite the fact that the claim does not seem to
match the complete club Vase record on the next page. These figures would apply to any club in
any traditional cuptie competition.
Let’s
assume that hotball conspiracy theorists are wrong and that all draws are fair and
there is an exact 50:50 chance of being home or away.
For three successive ties, there are only eight (2 to the power 3) possible sequences (HHH,
HHA, HAH, AHH, HAA, AHA, AAH and AAA)
so it can be seen that the chances of three home ties out of three would be 1 in
8, or 12.5%.
For four successive ties, we have 16 (2 to the power 4) possibilities (HHHH, HHHA, HHAH, HAHH,
AHHH, HHAA, HAHA, HAAH, AHHA, AHAH, AAHH, HAAA, AHAA, AAHA, AAAH, AAAA) of which only four (in bold) have exactly three out of four homes (not counting the HHHH sequence, stay with me on this!). So the chances are 4 in 16, or 25%.
As my
readership plummets, we can see that for five successive ties there are 10 sequences
with 3H and 2A (HHHAA, HHAHA, HHAAH, HAHHA, HAHAH, HAAHH, AHHHA, AHHAH, AHAHH, AAHHH) out of a
possible total of 2 to the power 5 = 32.
I have not listed the other 22 sequences like AHHHH that don’t have
3Hs. The chances of three homes out of
five ties is thus 10 out of 32, or 31.25%.
The
emerging pattern is shown in this table which will enable us to make the jump
to 3 homes out of 16 ties without the need for a maths degree. The “powers of 2” in the third column will
be familiar to most people. For the
second column, I have shown how it is possible to work out the number in the
next row from the ones before, because they turn out to be sums of successive
“triangle numbers” which are 1, 1+2, 1+2+3 … or 1, 3, 6, 10,15, 21, 28, 36, 45,
55 … and so on. Beautiful, isn't it? So neat, so simple - and nothing so far that is beyond the old O level ;)
** You might think that the chances
of getting 3 homes out of 6 ties would be 50%, but out of the 64 possible
sequences there is only 1 with no homes (AAAAAA) and 1 with six homes
(HHHHHH), 6 with one home (HAAAAA, AHAAAA, AAHAAA, AAAHAA, AAAAHA, AAAAAH), and 6 with five homes (AHHHHH, HAHHHH, HHAHHH, HHHAHH, HHHHAH, HHHHHA). We have calculated 20 ways of getting
exactly three aways above. 1+1+6+6+20
= 34 and the other 30 out of the 64 possibilities are 15 sequences with two homes and 15
with four homes. For homework, list
them … sorry, old habits and all that.
This isn’t a paradox because the average number of homes out of all
the possible sequences is exactly one half.
Now we can
continue to develop the pattern …
So we can
see that the chances of Staveley being drawn home for EXACTLY three out of
sixteen fair dichotomous draws was just under one percent, about the same as
the chances of me gaining new followers after this blogpost. Now for the football.
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The drama unfolds
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The only
downside of midweek matches is that my stills pix do not do justice to the
impressive (and very blue-and-white stripey, but nothing wrong with that, oh
no) facilities of this step 5 club.
@BeatTheFirstMan and I chewed the low-fat alternatives before the game
in the comfortable surroundings of The Arkwright Arms and then the
clubhouse. Teamsheets (immaculately
word-processed but labelled 6th round, ooops) flowed like (insert
something white and flowing here later) and I purchased the rights to the 13th
minute for the first-goal-scored. I
hate waiting till the end to find that I have lost again. As temperatures plummeted, with chip
butties in hand, we identified the planets visible overhead and awaited the
teams.
Staveley
(in the blue, of course) were playing towards Jupiter in the first half and
the first action of note was a skied shot by Jordan Eagers after 3 minutes which
will be dropping into The Great Red Spot in a few decades time. They also rattled the bar with an Ashley Foyle header after 7 as they
imposed themselves on the early stages.
My scene-setter clip from 10 minutes in includes glimpses of Venus as
a very bright dot, low in the sky, and the aforementioned Jupiter, fainter
and higher to the left. Things are
looking up, and as any astrologer will tell you, when Jupiter is in the descendant
in Aries then it is unlikely that goals will be scored from the penalty spot
on days ending in the letter y.
By midway
through the half, Oadby had settled and the game was more even. Their first real shot was straight into the
midriff of Ian Deakin. Then Staveley’s
Joe Thornton (I think) went on a strong run from the half-way line. As he reached the area, being forced
slightly right, he went down as Elliott Shilliam came out to dive at his
feet. No penalty, said the officials,
and rightly so I thought. However, the
ref pointed to the spot for a softer challenge after 40 minutes (though to be
fair there were not many protests) and here’s what happened.
Great work
by Shilliam to save Ryan Damms' penalty and Thornton's follow-up, and he needed treatment before the resulting corner. His evening was about to go from sublime to ridiculous
in the next half-hour. First, the ball
broke to Thornton and his low shot to the near post found a big gap en route
to the back of the net. Staveley saw out the last few minutes before the interval without much difficulty. 1-0 at half-time
Whatever
plans Oadby had for second-half tactics were ruined after 53 minutes, and
sadly for them I was pointing the camera in the direction of their defence. You can actually hear a sharp intake of
breath as Shilliam’s clearance became a pass.
Who’d be a keeper?
Thornton
won’t get many easier chances than that.
2-0
Oadby, of
course, now had to take the game to the opposition and they so nearly got one
back very soon from an inswinging corner that caused momentary defensive
chaos. The next clip has one of
several corners and set pieces that they had in this phase of the game.
Oadby’s
Michael Reeve was very unhappy to be tripped in full flow in an incident that
led to a yellow card for a home defender.
Deakin did well to push away Jon Stevenson’s free-kick to his
right. The next clip has a classic “Oooooh!”
from the Oadby supporters (who, it has to be said, outsung their counterparts
like the last time I saw them).
However,
the home defence stood firm and it was only the occasional set-piece like
this that really threatened.
The game
finished with Staveley running the ball into the corner to see out the final
seconds. Job done, very efficiently. Final
score 2-0
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Man-of-the-Match
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As chosen
by my viewing companion @BeatTheFirstMan, Staveley’s centre-back and captain
Tom Jones. Visiting forwards were
well-marshalled, colleagues were organised, headers were won, the sheet was
kept clean and It’s Not Unusual by all accounts on The Green Green Grass of
Home matches. @BeatTheFirstMan is not
responsible for those gratuitous musical references.
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A snippet from the programme
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Plenty of
Comic Sans content with good coverage of both clubs, and a very honest
appraisal of the last time these sides met, in the first qualifying round of
the same competition in 2008-9.
“A very poor performance by Staveley
saw them beaten at Oadby Town. The
manner of the defeat was so disappointing and demoralising. There was little effort and what effort
that was on show was misdirected and naĆÆve.
With 5 defeats in the last 6 games improvements need to be made… Two games after, and two further defeats,
the club made managerial changes.”
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What I learned today
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I can’t
work my new smartphone with freezing cold fingers. Will practise and try to do better with the
tweet update spellings in future.
Shocking.
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What Next?
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Not a
clue. I am making it up as I go along,
so keep following @GrahamYapp on Twitter.
There are some other 5th round ties on Saturday, though,
and there’s a good chance I will rock up for one of them.
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