SOLUTION: A room has 3 lightbulbs. Each one has a 10% probability of burning out within the month. What is the probability that all 3 will be lit at the end of the month?

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Question 881880: A room has 3 lightbulbs. Each one has a 10% probability of burning out within the month. What is the probability that all 3 will be lit at the end of the month?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
10% probability of burning out within a month
100-10 = 90% chance of not burning out within a month

90% = 0.9

(0.9)*(0.9)*(0.9) = (0.9)^3 = 0.729 = 72.9%

The probability that all 3 stay lit at the end of the month is 72.9%