Multiple choice

While rolling a fair die, find the probability of event that the number that turns in place is even as well as divisible by four.

  1. $\dfrac{1}{4}$
  2. $\dfrac{3}{4}$
  3. $\dfrac{1}{6}$

  4. None of these
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C Correct answer
Explanation

The outcomes of a die are {1, 2, 3, 4, 5, 6}. Even numbers are {2, 4, 6}. Numbers divisible by 4 are {4}. The intersection is {4}. Probability is 1/6.

AI explanation

According to the classical definition of probability, we divide the number of favorable outcomes by the total possible outcomes. When rolling a single fair die, there are 6 possible outcomes, and the only number that is both even and divisible by 4 is 4 itself. This gives exactly 1 favorable outcome out of 6 total possibilities. The probability is 1/6.

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