In the Two Upcoming Basketball Games, the Probability That UTC

question 61

Essay

In the two upcoming basketball games, the probability that UTC will defeat Marshall is 0.63, and the probability that UTC will defeat Furman is 0.55. The probability that UTC will defeat both opponents is 0.3465.
a.What is the probability that UTC will defeat Furman given that they defeat Marshall?
b.What is the probability that UTC will win at least one of the games?
c.What is the probability of UTC winning both games?
d.Are the outcomes of the games independent? Explain and substantiate your answer.

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Definitions:

U.S. Supreme Court

The highest court in the United States, with ultimate appellate jurisdiction over all federal and state court cases that involve a point of constitutional or federal law.

Court of Last Resort

The highest court in a jurisdiction from which there is no appeal, often referred to as a supreme court.

State Law

Regulations and statutes enacted by the legislative bodies of individual states, different from federal laws.

Trial Court

The first level of court in the judicial system where cases are heard, evidence is presented, and judgments or verdicts are initially made.