Multiple choice

A die has two faces each with number '$1$', three faces each with number '$2$' and one face with number '$3$'. The d ie is rolled once. The probability of not getting the number $3$ is:

  1. $\dfrac {1}{6}$
  2. $\dfrac {5}{6}$
  3. $\dfrac {1}{2}$
  4. None of these

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B Correct answer
Explanation

The die has 6 faces in total. The number of faces with 3 is 1, so the probability of getting a 3 is 1/6. The probability of not getting a 3 is 1 - 1/6 = 5/6.

AI explanation

The die has a total of 6 faces and the number 3 appears on exactly one face. Using the complementary probability method, the probability of not getting 3 is 1 minus the probability of getting 3, which is 1 minus 1/6. This calculates to 5/6.