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probability: addition rule mallory cameron example with \and\: you exam…

Question

probability: addition rule
mallory cameron
example with \and\: you examine the elective courses chosen by students in your grade and you determine that there are 18 students in athletics, 20 students in fine arts, 6 students chose both athletics and fine arts, and 4 chose neither.
find the probability that a randomly selected student was in athletics and fine arts

Explanation:

Step1: Calculate total students

$18 + 20 - 6+4=36$

Step2: Calculate probability

$P=\frac{6}{36}=\frac{1}{6}$

Answer:

$\frac{1}{6}$