Question

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?

Answer 1

P(success and success) = 0.8 * 0.8 = 0.64

Answer: the probability that both alarms sound in the presence of smoke is 0.64