Choose the correct option,
Based on past experience, the probability of an appliance having a blown fuse is 6% and
the probability of it having a broken wire is 4%. Also, 1% of the appliances to be repaired
come in with both a blown fuse and a broken wire What is the probability that an
appliance has either of the problems or both?
Answers
Given : the probability of an appliance having a blown fuse is 6% and
the probability of it having a broken wire is 4%. Also, 1% of the appliances to be repaired come in with both a blown fuse and a broken wire
To Find : probability that an appliance has either of the problems or both?
Solution:
Blown Fuse = 6 % = 0.06
Broken wire = 4 % = 0.04
Both = 1 % = 0.01
an appliance has either of the problems or both
(A ∪ B ) = A + B - (A ∩ B)
= 0.06 + 0.04 - 0.01
= 0.09
= 9 %
Probability is 0.09 or 9 % that an appliance has either of the problems or both
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Step-by-step explanation:
probability =9%............