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MichaelScaria · Answer 1 · 2023-02-15T12:07:54+0000

Step-by-step explanation:

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

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

The FOUTH OPTION is the correct answer

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