Multiple choice

A die is thrown then find the probability of getting a perfect square.

  1. $\displaystyle \frac{1}{3}$
  2. $\displaystyle \frac{1}{2}$
  3. $\displaystyle \frac{2}{3}$
  4. $0$
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A Correct answer
Explanation

A die has outcomes {1, 2, 3, 4, 5, 6}. Perfect squares are {1, 4}. Probability = 2/6 = 1/3.

AI explanation

The sample space for throwing a single die is 6, representing the numbers 1 through 6. The perfect squares within this sample space are 1 and 4, giving 2 favorable outcomes. By the classical definition of probability, the chance of rolling a perfect square is 2 divided by 6, which simplifies to 1/3.

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