SOLUTION: I have a fan that has 4 light bulbs installed ... 60 watt bulb has a probability of failure that equals 0.2, 40 watt bulbs have a probability of failure that equals .1, IF I have 1

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Question 1026960: I have a fan that has 4 light bulbs installed ... 60 watt bulb has a probability of failure that equals 0.2, 40 watt bulbs have a probability of failure that equals .1, IF I have 1 60 watt bulb and 3 40 watt bulbs, what is the probability that I will not be in the dark. round to 5 significant figures.


.1 x .1 x .1 = .001
1-.001 = .999
1-0.2 = .8
.999 + 1.799
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the probability you will be in the dark, then subtract from 1.
P%28FFFF%29=P%2860%2CF%29%2AP%2840%2CF%29%2AP%2840%2CF%29%2AP%2840%2CF%29
P%28FFFF%29=0.2%2A0.1%2A0.1%2A0.1
P%28FFFF%29=0.0002
So then,
P=1-0.0002=0.9998