Question 200220
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To convert odds to probability, add the two parts of the odds statement.  You have 11:3, so add 11 plus 3 = 14.  That is the denominator of the probability fraction.  The first number in the odds statement is the numerator of the probability fraction.  So given that the odds AGAINST Thunderbolt winning is 11:3, your probability that Thunderbolt WON'T win is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{11}{14}]


If there are only two possible outcomes, the sum of the probability something WILL happen and the probability that it WON'T happen is always 1.  So, subtract the probability that it won't happen from 1 to get the probability that it will.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 1 - \frac{11}{14} = \frac{3}{14}]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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