The GATE Grind

GATE 2014 EC (EC2) – Question 4

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 1 mark · Multiple choice

A regular six-sided die is thrown a very large number of times. Observed frequencies are 1:0.167, 2:0.167, 3:0.152, 4:0.166, 5:0.168, 6:0.180. This die is called ______.

  1. irregular
  2. biased
  3. Gaussian
  4. insufficient

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (B) biased

Explanation

For a fair six-sided die every face has probability1/6≈0.1667. With a very large number of throws, the substantial persistent differences0.152 for face3 and0.180 for face6 indicate unequal probabilities. The intended classification is **biased,B**. Finite observations alone cannot prove bias with mathematical certainty, but this is the large-sample interpretation.