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Three chipmunks collected nuts in their burrows. The first one has 12 nuts out of which 5 are walnuts, the second one has 10 nuts out of which 6 are walnuts, and the third one has 8 nuts out of which 7 are walnuts. At night, the first chipmunk steels 2 nuts from the second chipmunk's burrow and puts in his burrow. Then, the third chipmunk steels 2 nuts from the first chipmunk's burrow and puts in his burrow. Finally, the second chipmunk steels 2 nuts from the third chipmunk's burrow and puts in his burrow. What is the probability that all stolen nuts were walnuts?
A. \(\frac{112}{975}\)
B. \(\frac{14}{165}\)
C. \(\frac{7}{88}\)
D. \(\frac{4}{65}\)
E. \(\frac{5}{132}\)
A. \(\frac{112}{975}\)
B. \(\frac{14}{165}\)
C. \(\frac{7}{88}\)
D. \(\frac{4}{65}\)
E. \(\frac{5}{132}\)
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