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The table below shows the students in an Algebra class.GirlsBoysTotalOwn a graphing Do not own a graphingcalculatorcalculator125176713Total181230What is the probability that a randomly chosen student will be a girl and own a graphingcalculator?

The table below shows the students in an Algebra class.GirlsBoysTotalOwn a graphing-example-1
User Silvia H
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1 Answer

4 votes

Step-by-step explanation:

The total number of students in the algebra class is given below as


n(S)=30

The number of girsl who won a graphing calculator is given below as


\begin{gathered} n(G_h\cap G_n)=12 \\ where, \\ G_h=have\text{ }graphing\text{ }calculator \\ G_n=does\text{ }not\text{ }have\text{ }graphing \end{gathered}

Concept:

To figure out the probabaility that a randomly chosen student will be a girl and own a graphing calculator, we will use the formula below


Pr(G_h\cap G_n)=(n(G_h\cap G_n))/(n(S))

By substituting the values, we will have


\begin{gathered} Pr(G_(h)\operatorname{\cap}G_(n))=\frac{n(G_(h)\operatorname{\cap}G_(n))}{n(S)} \\ Pr(G_h\operatorname{\cap}G_n)=(12)/(30) \\ Pr(G_h\operatorname{\cap}G_n)=(2)/(5) \end{gathered}

Hence,

The final answer is


(2)/(5)

The FOUTH OPTION is the correct answer

User MichaelScaria
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