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:

Cleaving DNA

The process of making precise breaks in the strands of DNA, often used in genetic engineering and molecular biology studies.

Hox Genes

Clusters of homeobox-containing genes that specify the anterior–posterior axis of various animals during development.

D. Melanogaster

Drosophila melanogaster, a species of fruit fly used extensively in genetic research due to its simple genetics and short life cycle.

Arabidopsis

A small flowering plant, Arabidopsis thaliana, used as a model organism in plant genetics and molecular biology.