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  #1  
Old 27th November 2006, 07:37 AM
jfc jfc is offline
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Default Ashes Probability Puzzle

With 5 wickets remaining of the 4th innings the batting team B is 354 runs behind A.

B has a 1% probability of winning the match.

Question: What is the probability of a tie?

Assume:

Draw impossible.

B averages 1 run for every wicket-free ball.

Hint: should be able to solve with spreadsheet using a function whose name has at least 10 letters.
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  #2  
Old 28th November 2006, 11:05 AM
moeee moeee is offline
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Hamburgers has got 10 letters.
But be careful you don't drip the tomato sauce on your tie.

What needs to occur to have a tie?.
Do they need to score exactly 354 runs at the setting of the sun or what?
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  #3  
Old 28th November 2006, 11:21 AM
jfc jfc is offline
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Quote:
Originally Posted by moeee

What needs to occur to have a tie?.
Do they need to score exactly 354 runs at the setting of the sun or what?


To tie Team B needs to score 354 runs and then lose all its remaining wickets without adding its to the score.

http://en.wikipedia.org/wiki/Tied_Test
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  #4  
Old 28th November 2006, 04:56 PM
moeee moeee is offline
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I think you talking ********.
You gotta remember that the last 5 batsmen are nowhere near the class of the first 5 batsmen.
They gonna go out before they can make the 354 runs.
If you divide 354 by 5,there is no way Each of these batsmen can average 70 runs each!
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  #5  
Old 28th November 2006, 05:51 PM
jfc jfc is offline
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Quote:
Originally Posted by moeee
I think you talking ********.
You gotta remember that the last 5 batsmen are nowhere near the class of the first 5 batsmen.
They gonna go out before they can make the 354 runs.
If you divide 354 by 5,there is no way Each of these batsmen can average 70 runs each!


Obviously I based the puzzle on the real situation yesterday morning.

From memory Betfair had England at ~170 to win.

So the 1% probability for Team B winning was as close as I could get without messing with pesky fractions.
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  #6  
Old 28th November 2006, 05:59 PM
crash crash is offline
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Ah, so this is where the incredibly gifted mathematically congregate!
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  #7  
Old 29th November 2006, 08:26 AM
moeee moeee is offline
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Quote:
Originally Posted by crash
Ah, so this is where the incredibly gifted mathematically congregate!


Don't be frustrated,I've lost over a million dollars in 30 years of punting.
It can happen to anyone.
Just keep searching Crash.
The answer has to be somewhere.
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