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g.pr.10.1 (mc) a survey was taken to find the favorite sports of high s…

Question

g.pr.10.1 (mc)

a survey was taken to find the favorite sports of high school sophomores. the results are below. find \\(p(\text{male or soccer})\\).

volleyballfootballbasketballsoccertotal
male18483029125
total63706552250
  • \\(\frac{19}{25}\\)
  • \\(\frac{74}{125}\\)
  • \\(\frac{1}{5}\\)
  • \\(\frac{7}{50}\\)

Explanation:

Identify relevant values from the table

$$ LATEXBLOCK0 $$

Apply the addition rule for probability

$$ LATEXBLOCK1 $$

Simplify the fraction

$$ \frac{148}{250} = \frac{148 \div 2}{250 \div 2} = \frac{74}{125} $$

Answer:

  • (A) \(\frac{19}{25}\)
  • (B) \(\frac{74}{125}\) (Correct answer)
  • (C) \(\frac{1}{5}\)
  • (D) \(\frac{7}{50}\)