Multiple choice

A dice is thrown once. Find the probability of the event such that the o utcome of the event is divisor of 6.

  1. $\displaystyle \frac { 1 }{ 2 } $
  2. $\displaystyle \frac { 1 }{ 3 } $
  3. $\displaystyle \frac { 1 }{ 6 } $
  4. $\displaystyle \frac { 2 }{ 3 } $
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D Correct answer
Explanation

Divisors of 6 in a die (1, 2, 3, 4, 5, 6) are 1, 2, 3, 6. There are 4 such numbers. Probability = 4/6 = 2/3.

AI explanation

The sample space of a single die throw is 6. The divisors of 6 in this range are 1, 2, 3 and 6, resulting in 4 favorable outcomes. Applying the classical probability formula, the probability is 4/6, which simplifies to 2/3.

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