Hi Plato, thanks for the help.

that is exactly my question...

I'll try to rephrase.

the probability tree looks like this:

"probability it is flawed given A made it" (meaning P(C|A) ), if we follow the tree from its root along its branches, is $\displaystyle 0.1\times 0.01$

"probability that A made it" (meaning P(A) ), again, according the tree it's $\displaystyle 0.1$

so "probability it is flawed given A made it times probability that A made it" should be$\displaystyle (0.1\times 0.01)\times 0.1$