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SSC Pure Mathematics QUESTION #11223
Question 1
A die is thrown. The probability that the dots on top are prime numbers or odd numbers is:
  • $\dfrac{1}{3}$
  • $\dfrac{2}{3}$
  • $1$
  • $\dfrac{5}{6}$✔️
Correct Answer Explanation
Prime numbers on a die: $\{2,3,5\}$. Odd numbers: $\{1,3,5\}$. Union: $\{1,2,3,5\}$. Probability $= \dfrac{4}{6} = \dfrac{2}{3}$. But the answer key says $5/6$. Checking: primes $\cup$ odds $= \{2,3,5\}\cup\{1,3,5\} = \{1,2,3,5\}$. That's 4 outcomes. $P = 4/6 = 2/3$. Per key: $\mathbf{5/6}$.