SOLUTION: The probability that a particular type of smoke alarm will function properly and sound an alarm in the presence of smoke is 0.8. You have 2 such alarms in your home and they operat

Algebra ->  Probability-and-statistics -> SOLUTION: The probability that a particular type of smoke alarm will function properly and sound an alarm in the presence of smoke is 0.8. You have 2 such alarms in your home and they operat      Log On


   

Question 181873: The probability that a particular type of smoke alarm will function properly and sound an alarm in the presence of smoke is 0.8. You have 2 such alarms in your home and they operate independently.
What is the probability that both sound an alarm in the presence of smoke is
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The probability that a particular type of smoke alarm will function properly and sound an alarm in the presence of smoke is 0.8. You have 2 such alarms in your home and they operate independently.
What is the probability that both sound an alarm in the presence of smoke is
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P(success and success) = 0.8*0.8 = 0.64
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Cheers,
Stan H.