GATE EE 2014 Set 1 — Question 37
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumBinomial DistributionStatistics & DistributionsEngineering Mathematics
Engineering Mathematics → Statistics & Distributions → Binomial Distribution
Last updated
Question
A fair coin is tossed times. The probability that the difference between the number of heads and tails is is
Correct answer
(B) 0
Solution
Let be the number of heads and be the number of tails in tosses.
We know that .
The problem states that the difference between the number of heads and tails is .
Case 1:
Substitute :
Since the number of heads must be an integer, this case is impossible.
Case 2:
Similarly, , which is also impossible.
Since there is no integer solution for and , the event is impossible. Therefore, the probability is 0.
We know that .
The problem states that the difference between the number of heads and tails is .
Case 1:
Substitute :
Since the number of heads must be an integer, this case is impossible.
Case 2:
Similarly, , which is also impossible.
Since there is no integer solution for and , the event is impossible. Therefore, the probability is 0.
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 Statistics & Distributions
2026 Set 1 Q14Consider the following differential equation:…2026 Set 1 Q30Two matrices and have a common eigenvalue , and the same corresponding…2026 Set 1 Q32Given that , the integral…2026 Set 1 Q35 is an skew-symmetric matrix with real-valued entries, and is an…2026 Set 1 Q36A time-limited waveform is specified as follows:…