Three members out of jamie family

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The (newly discovered) Sentosa is very dangerous in that the victim of the virus will party throughout the night, resulting in dehydration and possibly death. If a person is quarantined, he/she has a 0.5 chance of having the virus. If a person has the virus, he/she has a 0.8 chance of infecting another person who lives in close quarters.

Jamie lives with her father, her mother, her sister and her younger brother only. Recently, Jamie's sister has been quarantined (in her house). What is the probability that at least three members out of Jamie's family will be infected with the virus at the end of the day?

Reference no: EM132851769

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