GATE EE 2022 Set 1 — Question 7
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General Aptitude → Quantitative Aptitude → Elementary Statistics & Probability
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Question
There are two identical dice with a single letter on each of the faces. The following six letters: Q, R, S, T, U, and V, one on each of the faces. Any of the six outcomes are equally likely. The two dice are thrown once independently at random. What is the probability that the outcomes on the dice were composed only of any combination of the following possible outcomes: Q, U and V?
Correct answer
(A) (1)/(4)
Solution
Total number of outcomes when two dice are thrown = .
The favorable outcomes are those where both dice show letters from the set .
Since there are 3 such letters, the number of favorable outcomes for each die is 3.
Total favorable outcomes = .
Probability = .Hence, the correct option is (A).
The favorable outcomes are those where both dice show letters from the set .
Since there are 3 such letters, the number of favorable outcomes for each die is 3.
Total favorable outcomes = .
Probability = .Hence, the correct option is (A).
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