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In: Statistics and Probability

Hannah coaches a youth soccer team . Tomorrow night, they have a game. Suppose there is...

Hannah coaches a youth soccer team . Tomorrow night, they have a game. Suppose there is a 43% chance that her team will lose. Regardless of whether her team loses, Hannah figures there is a 58% chance that a parent will complain about something to her after the game. From previous seasons, Hannah knows that the probability that her team loses and a parent complains is 35%.  (Hint: Organize and label the given information first before starting. Write out the probability statement for each question before calculating anything.)

(Round all probabilities to four decimals)

  1. Suppose Hannah’s soccer team loses. What is the probability that a parent complains?
  1. If a parent complains after the game, what is the probability that Hannah’s team lost?
  1. What is the probability that Hannah’s team will win tomorrow night?
  1. Suppose Hannah’s soccer team loses. What is the probability that a parent does not complain?

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