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 Maths homework help needed

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Roycropper
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PostPosted: Thu Apr 24, 2008 9:15 am Reply with quoteBack to top

I have been asked to help calculatethe odds of a couple of football related games of chance.

the first is a game where there are 10 matches, for each you are asked to predict the possible outcome, win lose or draw. A prize is paid for 8,9 or 10 successful predictions.

What are the odds for each? I reckon the chance of getting 10 right is 1 in 3 to the power of 10, around 59,000. I may be wrong though, and am not sure about 8 or 9 correct.

Assume 50% of the money staked is paid out in prizes.

If the lucky winner gets 4052, can we estimate how many people played? As far as I can see, the results for any week aren't relavent, you still have a 1 in 3 chance of getting each result correct.

=========================================

The second game is where again you have 10 matches, and you predict the minute a goal is scored in a particular match. It doesnt matter which side scores, you predict whether there will be one or two goals, and what time out of the 90 minutes (forget injury time - bet Liverpool wish they could) they are scored.

You first pick one game out of the 10.

My friend thinks the odds of getting 1 goal right is 1 in 90, x 10 matches = 1 in 900, I'm not so sure. for a start, the odds are the same on the match you pick, whether there are 10 games or 1.

I think it's 1 in 90, times the odds of getting a goaless draw or more than 1 goal, which is unpredicatble. What do you think?

What if you ahve to predict 2 goals? (I think you multiply the odds together)

I reckon that unless you analyse results you can't predict the odds, as it depends on the result - there might not even be a goal.

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justjay
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PostPosted: Thu Apr 24, 2008 1:29 pm Reply with quoteBack to top

the first

Quote:
What are the odds for each? I reckon the chance of getting 10 right is 1 in 3 to the power of 10, around 59,000. I may be wrong though, and am not sure about 8 or 9 correct.
I think:
    for 10 = 1 in 59049
    for 9 = 1 in 19683
    for 8 = 1 in 6561

Quote:
Assume 50% of the money staked is paid out in prizes.
If the lucky winner gets 4052, can we estimate how many people played?
Not really with just the info you give. Laughing Is that paying for 8, 9, & 10 correct (and at what rate of return) or just on 10 correct?
How much per bet?

If, only paying on 10 correct and at 1/bet place then probably 8104, unless 2 or more winners
__________
On the second
- Don't know enough about game to try calculating that, but I suspect that a large number of variables would be involved (I suppose, since you're talking that this isn't 'football' as known in US.) Laughing

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Roycropper
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PostPosted: Thu Apr 24, 2008 3:20 pm Reply with quoteBack to top

I agree with your odds on the first game.

The payout on 8 or 9 is minimal, so I think we can discount it.

for the second game, I think the odds are 1 in 90, times 10, divided by the number of games with only one goal.

Where you have 2 get 2 goals right, it could be 1 in 90x90 x 10 / games with 2 goals.

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the European Union has bounced on our freckles
COULD YOU IMAGINE WHAT HAPPENED WHEN I WENT TO THE BANK
our Agent is Completely broke, pocketless and stranded
I WLL SEND AN AFRICA WITCH TO ATTACH YOU BASTARD
You go die like bird
i started shouting HALLELUJAGOBBLE but none of them notice me immediately police arrested me due to the shouting
f*ck u asshole ur damn mother will loose ur fcuking skull brain ur brain is nothing to compare with rat f*ck ur u
MY FRIEND ALEX WAS DETAINED IN POLICE STATION
I am not happy due to the question i answered at money office. Let me tell you do not play with me ok.
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bill2
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PostPosted: Thu Apr 24, 2008 3:57 pm Reply with quoteBack to top

second game misses the chance of a goal at all! 0-0 is an option with soccer!
You would have to check at least 5 years of scores to get a reliable number there I guess. Complicated Wink So it's chance of a goal times 90 minutes, now you have to know how many goals there are on average in a game to make sure you got all options covered. Or... Simple, you have 10 games of 90 minutes that's 900 minutes. In 10 average games there are X goals so every minute has a change of X/900

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