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26 August, 22:13

Based on outcomes since 1967, the probability a team from the National League wins the baseball World Series in any given year is 0.44. Based on outcomes since 1967, the probability a team from the National Football conference wins the Superbowl in any given year is 0.53. Assume whether a team from the National League wins the World Series in a year is independent of whether a team from the National Football Conference wins the Superbowl in the same year. What is the probability a team from the National League wins the World Series in a given year or a team from the National Football Conference wins the Superbowl in the same year?

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  1. 27 August, 00:13
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    0.7368

    Step-by-step explanation:

    Let the occurrence that a team from the National League wins the Baseball World Series be termed EVENT A

    and the occurrence that a team from the National Football Conference wins the Superbowl be termed EVENT B

    We assumed that Event A and Event B are independent.

    This means that the probability of Event A occurring is the same, whether or not Event B occurs, and vice versa.

    P (Event A) = 0.44

    P (Event B) = 0.53

    P (Event A or Event B) = P (A) + P (B) - P (A and B)

    The keywords here are "or" and "and".

    To get P (A or B), let's find P (A and B)

    P (A and B) = 0.44 * 0.53 = 0.2332

    P (A or B) = 0.44 + 0.53 - 0.2332 = 0.97 - 0.2332 = 0.7368
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