
7th August 2006, 06:49 PM
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Member
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Join Date: Jan 1970
Location: Sydney
Posts: 402
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Quote:
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Originally Posted by mad
OK, here's what i've got so far:
Let X = win
Let O = loss
Possible outcomes for Team A:
1. X X (25%)
2. X O (25%)
3. O X (25%)
4. O O (25%)
Possible outcomes for team B to progress under scenario (all other outcomes result in failure):
1. 0%
2. X X (25%)
3. X X (25%)
4a. X O (25%)
4b. O X (25%)
4c. X X (25%)
However scenario's 2, 3, 4a & 4b result in a draw = coin toss
Possible outcomes for team B after coin flip (assuming they win the coin flip):
1. 0%
2. 0.25*0.5 = 12.5%
3. 0.25*0.5 = 12.5%
4a. 0.25*0.5 = 12.5%
4b. 0.25*0.5 = 12.5%
4c. 25%
Probability of qualification = 67.5%
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Consider 1 of your positions
If A has an
X 0
And B has a
XX
Then it's up to a coin toss
So you have to multiply ALL 3 probabilities together: A, B, Toss
25% x 25% x 50%
So quite often your results are 4 times too much
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