A bag contains five 4cm nails, six 7cm nails and nine 10cm nails. Find the probability that

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A bag contains five 4cm nails, six 7cm nails and nine 10cm nails. Find the probability that two randomly selected nails: 

a. Have a total length of 14cm

b. Are both 7cm long, given that they have a total length of 14cm.

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