A group of students from 3 universities were asked to pick their favorite colleg

Question

A group of students from 3 universities were asked to pick their favorite college sport to attend of the choices: football, basketball and soccer. The results were as follows.

Football Basketball Soccer
Maryland 60 70 20
Duke 10 75 15
UCLA 35 65 25

What is the probability that the student was from UCLA or chose football? Show work.

Explanation / Answer

Given UCLA = 125 Maryland = 150 Duke = 100 Total number of students = 126 + 150 + 100 = 375 P(UCLA) = 125/375 (divided by 25) -> 5/15 (divided by 5) -> 1/3 ______________________________________ Given basketball = 210 soccer = 60 football = 105 Total number of students = 210 + 60 + 105 = 375 P(football) = 105/375 (divided by 5) -> 21/75 (divided by 3) -> 7/25

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