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) Are the outcomes of the games independent? Explain and given reasoning for your answer.
C) What is the probability that UTC will win Furman or Marshall?
Let A be the event that UTC will defeat Marshall
B be the event that UTC will defeat Furman
a) the probability that UTC will defeat Furman given that they defeat Marshall =
b) Event A and B are independent if
\
Thus holds true hence the outcomes of the games are independent.
c) the probability that UTC will win Furman or Marshall is
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