Mathematics · Markov Chains
Consider a Markov chain {Xn: n ≥ 1} on the state space {1, 2, 3, 4, 5} with the transition probability matrix P = | 0 1/2 1/2 0 0 | | 0 0 1 0 0 | | 0 1/3 0 1/3 1/3 | | 1 0 0 0 0 | | 0 0 0 0 1 | Then, which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1limn→∞ P55(n) = 0
- 2All states are aperiodic.
- 3State 5 is absorbing and recurrent.✓
- 4The stationary distribution is (0, 0, 0, 0, 1).
Correct answer
State 5 is absorbing and recurrent.
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Markov Chains MCQs →Want more practice questions on Markov Chains?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Markov Chains