Question:
A fair die is rolled once. What is the probability of getting a prime number?
A fair die is rolled once. What is the probability of getting a prime number?
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Primes on a die are 2, 3 and 5.
Updated On: Jul 8, 2026
- \(\dfrac{1}{3}\)
- \(\dfrac{1}{6}\)
- \(\dfrac{1}{2}\)
- \(\dfrac{2}{3}\)
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The Correct Option is C
Solution and Explanation
Step 1: List the sample space.
Outcomes: \(\{1, 2, 3, 4, 5, 6\}\), total \(6\).
Step 2: Identify prime outcomes.
Primes on a die: \(\{2, 3, 5\}\), i.e. \(3\) favourable outcomes.
Step 3: Probability.
\[\dfrac{3}{6} = \boxed{\dfrac{1}{2}}\]
Outcomes: \(\{1, 2, 3, 4, 5, 6\}\), total \(6\).
Step 2: Identify prime outcomes.
Primes on a die: \(\{2, 3, 5\}\), i.e. \(3\) favourable outcomes.
Step 3: Probability.
\[\dfrac{3}{6} = \boxed{\dfrac{1}{2}}\]
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