Probabilities

Question

Six radar systems work independently of each other. Each system can detect an approaching airplane with a
probability of 0.93. Find the probability that an approaching airplane will escape all six systems.

Answer 1

Megan,

            The probability of detecting a plane is p then the probability of not detecting is 1-p and since each radar system is independent the probability of all six radars not detecting the plane is (1-p)⁶ =1.17*10^-7 .

 

Jim