The GATE Grind

GATE 2023 XH5 (Psychology) – Question 3

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

Given a fair six-faced dice where the faces are labelled ‘1’, ‘2’, ‘3’, ‘4’, ‘5’, and ‘6’, what is the probability of getting a ‘1’ on the first roll of the dice and a ‘4’ on the second roll?

  1. $\frac{1}{36}$
  2. $\frac{1}{6}$
  3. $\frac{5}{6}$
  4. $\frac{1}{3}$

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (A) $\frac{1}{36}$

Explanation

The two rolls are independent, so the probability is $\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}$.