8 a door alarm works in 72 out of 100 cases and surveillance camera works in 68 out of 100 cases. what is the probability of effective screening techniques keeping in mind that these two methods can be used together?
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Let there be two events A and B.
Let event A= door alarm and event B= surveillance camera.
Finding the probability of two events
P(A) = 72/100 = 0.72
P(B) = 68/100 = 0.68
Both the systems are independent of each other.
Therefore, they can work independently.
Therefore the required probability is,
P(A) * P(B)
=0.72*0.68
= 0.4896
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