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:
- A. 1/2 (Correct answer)
- B. 1/3
- C. 1/4
- 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