Two patients share a hospital room for two days. On any given day a person independently picks up an airborne infection with probability . Anyone infected on the first day certainly passes it to the other patient on the second day; once contracted, the infection stays for at least two days. What is the probability that fewer than two patients have the infection by the end of the second day?
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Two patients share a hospital room for two days. On any given day a person independently picks up an airborne infection with probability 1/4. Anyone infected on the first day certainly passes it to the other patient on the second day; once contracted, the infection stays for at least two days. What is the probability that fewer than two patients have the infection by the end of the second day? (A) 135/256 (B) 121/256 (C) 131/256 (D) 125/256
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This question is on Conditional probability and the multiplication rule, part of Probability and Bayes' theorem in Statistics.
Probabilities that change when you know something has happened.
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Question from the DSE 2017 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.