A dice is thrown once. Probability of getting an even number is:

Numerical & Reasoning Ability ·Previously asked in JKSSB Constable (Executive / Armed / IRP / SDRF) 2016

View the full solved paper: J&K Police Constable 2016 - Set A

Question

A dice is thrown once. Probability of getting an even number is:

  1. A. 1/2 (Correct answer)
  2. B. 1/3
  3. C. 1/4
  4. D. 1/6

Correct Answer

Option A — 1/2

Detailed Solution & Explanation

The correct answer is 1/2.

Key Points

  • A die has six faces numbered 1 to 6, so the total number of outcomes is 6.
  • The even numbers are 2, 4 and 6 — three favourable outcomes.
  • Probability = favourable ÷ total = 3/6 = 1/2.

Additional Information

  • The basic formula is P(E) = number of favourable outcomes ÷ total number of outcomes, and every probability lies between 0 and 1.
  • Useful single-die results: P(prime) = 3/6 = 1/2 (2, 3, 5); P(number > 4) = 2/6 = 1/3.
  • For two dice the sample space is 36; the most likely total is 7, with probability 6/36 = 1/6.

Topics covered: Probability Mathematics