Question

NASA estimates that the probability that a certain component in a communication satellite fails is .005. There is an independent backup system, and the probability that it fails is .01. What is the probability that both systems fail

Answer 1

Answer: $0.00005$

Step-by-step explanation:

Given

The probability that a certain component in a communication satellite fails is 0.005.

There is an independent backup system, and the probability that is fails is 0.01

The probability that both the system fails is given by

$\Rightarrow P=0.005\times 0.01\\\Rightarrow P=0.00005$