Calculate the probability that the product of two numbers selected at random with replacement from the set {-5,-2,4, 8} is positive

  • A \(\frac{2}{3}\)
  • B \(\frac{1}{2}\)
  • C \(\frac{1}{3}\)
  • D \(\frac{1}{6}\)

The correct answer is B. \(\frac{1}{2}\)

x -5 -2  4 8

-5 25 10 -20 -40

-2 10 4 -8 -16

4 10 4 -8 -16

4 -20 -8 16 32

8 -40 -16 32 64

Pr(Two numbers is positive) = \(\frac{8}{16}\) 

= \(\frac{1}{2}\)

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