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Two fair dices, each numbered 1, 2, …, 6, are tossed together. Find the probability…

Two fair dices, each numbered 1, 2, …, 6, are tossed together. Find the probability that they both show even numbers.

  • A.
    (frac{1}{3})
  • B.
    (frac{1}{4})
  • C.
    (frac{1}{6})
  • D.
    (frac{1}{12})
Correct Answer: Option B
Explanation

P(even in 1 dice) = (frac{3}{6} = frac{1}{2})

P(even in 2 fair die) = (frac{1}{2} times frac{1}{2} = frac{1}{4})