GATE ME 2024 Set 1 — Question 5
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Engineering Mathematics → Probability → Axioms of Probability
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Question
Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has 1/4 probability of landing on any of the four rectangular faces. The label on the top face of the dice is the score of the throw. If thrown together, what is the probability of getting the sum of the two long dice scores greater than 11?
Correct answer
(D) 3/16
Solution
Each die has 4 faces: {2, 3, 5, 7}.
Total possible outcomes when two dice are thrown = .
We need to find outcomes where the sum is greater than 11.
Possible pairs and their sums:
Probability = .
Total possible outcomes when two dice are thrown = .
We need to find outcomes where the sum is greater than 11.
Possible pairs and their sums:
- (5, 7) sum = 12
- (7, 5) sum = 12
- (7, 7) sum = 14
Probability = .
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