The GATE Grind

GATE 2023 EE – Question 3

General Aptitude · Quantitative Aptitude: Probability and Combinatorics · 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. $\dfrac1{36}$
  2. $\dfrac16$
  3. $\dfrac56$
  4. $\dfrac13$

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (A) $\dfrac1{36}$

Explanation

The rolls are independent, so the probability is $\dfrac16\times\dfrac16=\dfrac1{36}$.