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Use the Rules of Probability to Determine the Strength of the Following

Question 134

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Use the rules of probability to determine the strength of the following argument. In other words, given that the premises are true, how likely is the conclusion?
The odds are 2 to 1 that Archarcharch will win the Kentucky Derby, but odds are 3 to 2 that Archarcharch will win the Preakness. So, odds are that Archarcharch will not win both the Kentucky Derby and the Preakness. (Note: The Derby and the Preakness are independent races.)

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The probability of Archarcharch winning ...

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