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Mathematics — CBSE Class 10 board question

Q1. [1]
The probability of drawing an even prime number out of numbers from 1 to 30 is :
  1. A $\dfrac{1}{30}$
  2. B $\dfrac{1}{15}$
  3. C $\dfrac{1}{10}$
  4. D $0$
Previously asked in CBSE board exam
2025 30/2/1 Q2
Generated by claude-sonnet-4-6 · 2026-06-15 10:28 · grounding rag
Model Answer

Option A: $\dfrac{1}{30}$

Total numbers from 1 to 30 = 30. Even prime numbers in this range = only 2 (2 is the only even prime). So, P(even prime) = $\dfrac{1}{30}$.

Explanation

The key fact is that 2 is the only even prime number — all other even numbers are divisible by 2, hence not prime. Students often confuse this and either mark 0 (thinking no even number is prime) or count multiple even primes. Total outcomes = 30, favourable outcomes = 1 (only the number 2), giving $\dfrac{1}{30}$.

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