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Calculate the probability that the product of two numbers selected at random with ...

Calculate the probability that the product of two numbers selected at random with replacement from the set {-5,-2,4, 8} is positive
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  • A \(\frac{2}{3}\)
  • B \(\frac{1}{2}\)
  • C \(\frac{1}{3}\)
  • D \(\frac{1}{6}\)
Correct Answer: Option B
Explanation:
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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