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Home / Week 8 Exercises / Bayes' Ball

Bayes' Ball

The questions below are due on Sunday April 07, 2019; 11:00:00 PM.
 
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Part 1

The probability that the Red Sox will beat the Yankees if the Red Sox are better than the Yankees is 0.7.

The probability that the Red Sox are better than the Yankees is 0.6.

Do you have enough information to determine the probability that the Red Sox are better than the Yankees given that they beat the Yankees, and if not, what additional information do you need?

Part 2

  • The probability that the Red Sox will win if it is below 60 degrees Fahrenheit is 0.3.
  • The probability that the Red Sox will win if it is at or above 60 degrees Fahrenheit is 0.9.
  • The temperature tomorrow will be at or above 60 degrees Fahrenheit with a probability of 0.7.

What is the probability that the Red Sox will win tomorrow?