2. Two components are assembled together to a form a product ( such as a bottle

Question

2. Two components are assembled together to a form a product ( such as a bottle with a lid).
The first component will be scratched after assembly with probability 0.005.
The second component will be scratched after assembly with probability 0.004.
Assume that whether or not a component is scratched is independent of whether of not the other component is scratched. Here is a set of elementary outcomes for the next product to be assembled:
{SS, SN, NS, NN}
In the above set, entry NS means the first component is not scratched, and the second component is scratched. The other entries have similar meanings.
A) Display this event: “At least one of the two components is scratched”.
B) Display this event: “The first component is scratched.”
C) Calculate the probability that the first component is scratched given that at least one of the components is scratched.

Explanation / Answer

Given NS means the first component is not scratched, and the second component is scratched -------------------------------------------------------------------------------------------------
A) So

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