GATE 2022 MA – Question 7

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice

Two identical fair dice have faces Q,R,S,T,U,V. They are thrown independently once. What is the probability both outcomes use only letters from {Q,U,V}, in any combination?

1/4
3/4
1/6
5/36

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Show answer and explanation

Correct answer: (A) 1/4

Explanation

Each die has three allowed faces out of six, probability 1/2. Independence gives (1/2)²=**1/4, A**, equivalently 9 favorable ordered pairs out of 36.

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