Multiple choice

A dice is thrown once. Find the probability of getting a prime number lying between $2$ and $6$.

  1. $\dfrac12$
  2. $\dfrac13$
  3. $\dfrac14$

  4. None of the above
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B Correct answer
Explanation

Primes between 2 and 6 are 3 and 5. There are 2 such numbers out of 6 possible outcomes on a die. Probability = 2/6 = 1/3.

AI explanation

When a single die is thrown, the sample space consists of 6 possible outcomes. The prime numbers lying between 2 and 6 are 3 and 5, which gives 2 favorable outcomes. Using the classical definition of probability, the required probability is 2 divided by 6, which simplifies to 1/3.

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