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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

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 Expre class=

Sagot :

Answer:

[tex]\frac{8}{17}[/tex]

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;

[tex]\frac{4}{17}+\text{ }\frac{5}{17}-\frac{1}{17}\text{ = }\frac{8}{17}[/tex]

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

[tex]P(A\text{ U B\rparen = P\lparen A\rparen + P\lparen B\rparen -P\lparen A n B\rparen}[/tex]

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

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