From a set \(A = [3, \sqrt{2}, 2\sqrt{3}, \sqrt{9}, \sqrt{7}]\), a number is selected at

MATHEMATICS
WAEC 1999

From a set \(A = [3, \sqrt{2}, 2\sqrt{3}, \sqrt{9}, \sqrt{7}]\), a number is selected at random. Find the probability that is a rational number

  • A. \(\frac{1}{5}\)
  • B. \(\frac{2}{5}\)
  • C. \(\frac{3}{5}\)
  • D. \(\frac{4}{5}\)

Correct Answer: B. \(\frac{2}{5}\)

Explanation

\(A = {3, \sqrt{2}, 2\sqrt{3}, \sqrt{9}, \sqrt{7}}\)

n(A) = 5

Let the rational nos = R

n(R) = 2 (3, \(\sqrt{9}\))

P(R) = 2/5



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