GATE EE 2015 Set 1 — Question 5
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33EasyElementary Statistics & ProbabilityQuantitative AptitudeGeneral Aptitude
General Aptitude → Quantitative Aptitude → Elementary Statistics & Probability
Last updated
Question
Given Set A = and Set B = , two numbers are randomly selected, one from each set. What is the probability that the sum of the two numbers equals 16?
Correct answer
(A) 0.20
Solution
Let be the number of elements in Set A, and be the number of elements in Set B.
Set A = , so .
Set B = , so .When two numbers are randomly selected, one from each set, the total number of possible pairs is .We need to find pairs where , , such that .
Let's list the possible pairs:
If , then . is a valid pair since .
If , then . is a valid pair since .
If , then . is a valid pair since .
If , then . is a valid pair since .The favorable outcomes are 4 pairs: .Number of favorable outcomes = 4.
Total number of possible outcomes = 20.Probability = .The correct option is (A).
Set A = , so .
Set B = , so .When two numbers are randomly selected, one from each set, the total number of possible pairs is .We need to find pairs where , , such that .
Let's list the possible pairs:
If , then . is a valid pair since .
If , then . is a valid pair since .
If , then . is a valid pair since .
If , then . is a valid pair since .The favorable outcomes are 4 pairs: .Number of favorable outcomes = 4.
Total number of possible outcomes = 20.Probability = .The correct option is (A).
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE EE question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Quantitative Aptitude
2026 Set 1 Q1‘The shopkeeper sells lemons.’ In this sentence, the word ‘lemons’ is the ________.2026 Set 1 Q2The figure below is supposed to show three non-overlapping shapes – one oval and two triangles.…2026 Set 1 Q3At how many points will the curves and intersect in the real …2026 Set 1 Q4‘If Anish had scored hundred runs in today’s match, he would have been made the captain of his…2026 Set 1 Q5Which one of the following figures P, Q, R, or S, correctly shows the clockwise-rotated…