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A fair die is tossed once, what is the probability of obtaining neither 5 or…

A fair die is tossed once, what is the probability of obtaining neither 5 or 2
  • 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})