Households are classified as rich or poor; a generation's state depends only on its parents' state. If a parent is poor, the child is poor with probability ; if a parent is rich, the child is poor with probability . What is the probability that the great-grandson of a poor man will be poor?
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Households are classified as rich or poor; a generation's state depends only on its parents' state. If a parent is poor, the child is poor with probability 0.7; if a parent is rich, the child is poor with probability 0.6. What is the probability that the great-grandson of a poor man will be poor? (A) 0.72 (B) 0.67 (C) 0.62 (D) 0.78
Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.
This question is on Markov chains and random walks, part of Probability and Bayes' theorem in Statistics.
Probabilities when the next step depends only on the present state.
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Question from the DSE 2014 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.