Probability from a chart of data

[battery88]

Homework Statement

Three people write programs. The following table shows the percentage of codes written by each person (A, B, C) and the percentage of buggy codes for each person.

****************Coder****************
*************A*B*C*******************
Percent of code 30 25 45
Percent of bugs 2 3 5

The table may be a bit hard to read so here is the break down:
Person A wrote 30% of the code and had 2% bugs
Person B wrote 25% of the code and had 3% bugs
Person C wrote 45% of the code and had 5% bugs

Given that a bug was found, find the probability that it was in code written by person C.

Homework Equations

The Attempt at a Solution

After much thought on this problem I'm still no closer to solving it. Honestly, we haven't done any problems set up in this way and I'm not really sure how to go about this problem. Any pointers would be much appreciated.

 

[vela]

Suppose there was a total of 10000 lines of code written. How many lines did A write? How many of those lines contain bugs? Same with B and C.