Question

Use the following table to find the probability that a randomly chosen member of the Student Government Board is a sophomore or lives in offcampus housing Express your answer as a fraction in lowest terms or a decimal rounded to the nearest

Answer 1

Answer:

$\frac{8}{17}$

Explanation:

Here, we want to get the probability that a randomly chosen member of the student government Board is a sophomore or lives in off-campus housing

What we need to do here is to sum the count of sophomores and students living in off-campus housing, then divide it by the total number of students

Mathematically, we have that as;

$\frac{4}{17}+\text{ }\frac{5}{17}-\frac{1}{17}\text{ = }\frac{8}{17}$

We are subtracting the 1/17 because we have sophomores who live off campus:

$P(A\text{ U B\rparen = P\lparen A\rparen + P\lparen B\rparen -P\lparen A n B\rparen}$

P(A) refers to the probability of selecting a sophomore

P(B) refers to the probability of off-campus housing

P(A n B) refers to the probability of a sophomore who lives off campus