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g.pr.10.3 (mc) a survey was taken to find the favorite sports of high s…

Question

g.pr.10.3 (mc)

a survey was taken to find the favorite sports of high school sophomores. the results are below. find the probability a student prefers soccer given the student is a female.

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$$\begin{tabular}{|l|c|c|c|c|c|} \\hline & volleyball & football & basketball & soccer & total \\\\ \\hline female & 45 & 22 & 35 & 23 & 125 \\\\ \\hline male & 18 & 48 & 30 & 29 & 125 \\\\ \\hline total & 63 & 70 & 65 & 52 & 250 \\\\ \\hline \\end{tabular}$$

\bigcirc 0.71
\bigcirc 0.18
\bigcirc 0.36
\bigcirc 0.25

Explanation:

Identify the given values from the table

$$ LATEXBLOCK0 $$

Apply the conditional probability formula

$$ LATEXBLOCK1 $$

Calculate the decimal value

$$ LATEXBLOCK2 $$

Answer:

  • (A) 0.71
  • (B) 0.18 (Correct answer)
  • (C) 0.36
  • (D) 0.25