probability

The odds against Paul Phillips winning the 100 yard dash are 7:2. Determine the probability that:
• a) Paul wins.
• b) Paul does not win.

How do I set this up to find out the equation/answer?

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  1. When you say 7:2 odds against, what is really meant is that 7:2 are the odds on Paul winning. If you bet $2, you win $7 and get your $2 back also.

    7:2 odds on paul means: There are 2 chances out of 9 (the sum of 7 and 2) that he will win and 7 chances out of 9 that he will not win

    a) 2/9 = 22.2%
    b) 7/9 = 77.8%

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