Multiple choice

A die is thrown once. What is the probability of getting a number lying between 1 and 6?

  1. $1$
  2. $\dfrac{5}{6}$
  3. $\dfrac{2}{3}$
  4. $\dfrac{1}{2}$
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C Correct answer
Explanation

A standard die has outcomes {1, 2, 3, 4, 5, 6}. The numbers lying strictly between 1 and 6 are {2, 3, 4, 5}. There are 4 such numbers, so the probability is 4/6 = 2/3.

AI explanation

The sample space for a single die throw is 6. The numbers lying strictly between 1 and 6 are 2, 3, 4 and 5, giving 4 favorable outcomes. Using the basic probability formula, the probability is 4/6, which simplifies to 2/3.

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