GATE CE 2023 Set 1 — Question 29
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0EasyProbabilityEngineering Mathematics
Engineering Mathematics → Probability
Last updated
Question
The probabilities of occurrences of two independent events A and B are 0.5 and 0.8, respectively. What is the probability of occurrence of at least A or B (rounded off to one decimal place)? ______________________
Correct answer
0.9 to 0.9
Solution
Given:
Since A and B are independent events, the probability of their intersection is:
The probability of occurrence of at least A or B is given by the union of the two events:
Thus, the probability is 0.9.
Since A and B are independent events, the probability of their intersection is:
The probability of occurrence of at least A or B is given by the union of the two events:
Thus, the probability is 0.9.
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 CE 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.