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Thursday, 02 April 2026
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A fair die is tossed once, what is the probability of obtaining neither 5 or 2

A fair die is tossed once, what is the probability of obtaining neither 5 or 2
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  • A \(\frac{5}{6}\)
  • B \(\frac{2}{3}\)
  • C \(\frac{1}{2}\)
  • D \(\frac{1}{6}\)
Correct Answer: Option B
Explanation:
Probability of obtaining a 5 is P(5)=\(\frac{1}{6}\)
Probability of obtaining a 2 is P(2)=\(\frac{1}{6}\)
Probability of obatining either 2 or 5 = P(2∪5) = \(\frac{2}{6}\)
Probability of obtaining neither 5 or 2 = \(1 - \frac{2}{6}=\frac{4}{6}=\frac{2}{3}\)

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