Maths question of the day

[1973Blade]

We have been drawn at home for all six of the League Cup matches we have played since Chris Wilder became manager (including Sunderland). What are the chances of this happening?

 

[Kenny Powers]

About 67/1

 

[Sheffsteel]

Think you use the formula for permutations and combinations.

 

[KiwiBlade]

Odds are 1 in 64

 

[1889]

We have been drawn at home for all six of the League Cup matches we have played since Chris Wilder became manager (including Sunderland). What are the chances of this happening?

I’d say the odds of a home tie are about 50/50?

So now all you need to do is work out the odds of 6 consecutive home ties.

I’ve done the hard part for you, so all you need to do is finish off the calculation. You can use your calculator, but I want it in for Monday morning and DON’T forget to show your working out

 

[1973Blade]

I’d say the odds of a home tie are about 50/50?

So now all you need to do is work out the odds of 6 consecutive home ties.

I’ve done the hard part for you, so all you need to do is finish off the calculation. You can use your calculator, but I want it in for Monday morning and DON’T forget to show your working out

It was my quiz question of the day which KiwiBlade answered correctly. I think so anyway, maths was never my strong point

 

[Blade56]

(92/1*p)+(46/1*p)+(..........

Where p= a Pigs getting through without playing cause what are odds they get draw against clubs getting booted out of league in all rounds?

 

[1889]

It was my quiz question of the day which KiwiBlade answered correctly. I think so anyway, maths was never my strong point

So basically you’re admitting you’ve copied off the New Zealand exchange student?

Right, get your things and go and stand outside Mr Foxs office

 

[Blackestnite]

2x2x2x2x2x2 = 64

 

[Revolution]

In 2002-3 we were drawn at home in each round of the league cup and the FA Cup - 9 ties in all. Plus in the 2 legged semi final we were drawn at home in the first leg.

 

[Greasy Chap Butty]

It also means that the odds of being at home for the next match are tiny. Scientific fact

 

[1973Blade]

It also means that the odds of being at home for the next match are tiny. Scientific fact

Especially if we are knocked out

 

[Yellarbellyblade]

Just for the geeks out there why don’t you work out the odds of our ball being picked at the point it was from a bag of 32 say or however many were in when we were drawn then of it being home as well?
Enjoy I’ll be in the corner having a pint

 

[Deleted member 1486]

It also means that the odds of being at home for the next match are tiny. Scientific fact

The odds of being drawn at home for the next match are 1 in 2.

 

[Greasy Chap Butty]

The odds of being drawn at home for the next match are 1 in 2.

How can they be? After already coming up six times, it's one in 128 . I've put £100 on skybet for us to be Away, I got Evens. Easy money.

 

[PokerBlade]

We have been drawn at home for all six of the League Cup matches we have played since Chris Wilder became manager (including Sunderland). What are the chances of this happening?

So many errors in this thread.

We would have to include the probability that Wilder would become Sheffield United manager AND the odds that we would progress past the first round such that we would be in the draw six times.

 

[Jesus_was_a_Blade]

Like winning the lottery it's 50/50, you either do or you don't

 

[blader]

Just for the geeks out there why don’t you work out the odds of our ball being picked at the point it was from a bag of 32 say or however many were in when we were drawn then of it being home as well?
Enjoy I’ll be in the corner having a pint

Well, there are 32 balls, so it's a 1/32 chance of us being pulled out in any position ( we happened to be 9th out of the hat based on the website). If we assume that we don't know that every odd number selection will be at home (which ofcourse it will) then there is a 1/2 chance of us being at home also.

Therefore, the chance of being out 9th in the hat and then at home would be 1/2 x 1/32, which is 1/64.

You're welcome.

 

[Scooter_mcgavin]

The odds of us being drawn at home 6 ties in a row is improbable considering the final is at wembley

 

[ghandi]

The odds of being drawn at home for the next match are 1 in 2.

And for betting purposes even money 1/1.

 

[Sabella's Socks]

Odds are 1 in 64

I think Probability and Odds mean slightly different things.

Probability is 1/64, or 1 in 64, depending on how you want to write or say it.

Odds are 63/1 against

Similarly the probability of rolling a 6 on a dice is 1/6, but the odds are 5 to 1 against.

I'll get my anorak.

 

[Ball_Sup (Phil)]

Did I mention I've got two Degrees in Statistics?
Drawing balls from a bag is not truly random, only quasi random. The chances of a home draw in any round are not exactly evens.....
Sorry to disappoint

 

[Yellarbellyblade]

Well, there are 32 balls, so it's a 1/32 chance of us being pulled out in any position ( we happened to be 9th out of the hat based on the website). If we assume that we don't know that every odd number selection will be at home (which ofcourse it will) then there is a 1/2 chance of us being at home also.

Therefore, the chance of being out 9th in the hat and then at home would be 1/2 x 1/32, which is 1/64.

You're welcome.

But that changes every time balls are pulled out and it’s not us

 

[GreasyChipBeattie]

Well, there are 32 balls, so it's a 1/32 chance of us being pulled out in any position ( we happened to be 9th out of the hat based on the website). If we assume that we don't know that every odd number selection will be at home (which ofcourse it will) then there is a 1/2 chance of us being at home also.

Therefore, the chance of being out 9th in the hat and then at home would be 1/2 x 1/32, which is 1/64.

You're welcome.

Aaahh, but what about when they do that, 'give them a good swirl' thing half way through?
The ball that would've been next out (assuming the ball-puller has the same ball-pulling action each time) now has a chance of NOT being in the position as before said 'ball-swirling' I'm not sure what the odds of all the balls settling back in the same positions are though. Anyone know?!

 

[diode_blade]

Work it out in 'two's complement form".
Then you have your answer.

 

[Sabella's Socks]

The chances of a home draw in any round are not exactly evens.....

Just when I've got my head round Monty Hall you come up with this.

Go on then, why?

 

[Th!stledo]

Did I mention I've got two Degrees in Statistics?
Drawing balls from a bag is not truly random, only quasi random. The chances of a home draw in any round are not exactly evens.....
Sorry to disappoint

I'm guessing you didn't go for the third degree because it would have been too torturous?

 

[Ball_Sup (Phil)]

Just when I've got my head round Monty Hall you come up with this.

Go on then, why?

The "balls" will not be uniformly spherical, or the same weight. The fact that different numbers are carved into them will impact on weight & sphericalicity (made up word). It's negligible, but not exactly random. Go to extremes - one is a pea, one a golf ball, one a tennis ball, one a football, one a medicine ball & one is the moon. No way is that draw random....

 

[Th!stledo]

The "balls" will not be uniformly spherical, or the same weight. The fact that different numbers are carved into them will impact on weight & sphericalicity (made up word). It's negligible, but not exactly random. Go to extremes - one is a pea, one a golf ball, one a tennis ball, one a football, one a medicine ball & one is the moon. No way is that draw random....

You gonna need a big there fella.

 

[Ball_Sup (Phil)]

I'm guessing you didn't go for the third degree because it would have been too torturous?

Yet you quote three statistical theorem in your reply.....