Originally Posted by
c00ky Hi Guys, I have the following problem. Could anybody point explain to me how to solve this problem using probability trees?
Q) Companies A, B and C are producing nails. 30%, 45% and 25% of these nails are produced by companies A, B and C respectively. Quality checks reveal that 0.2%, 0.1% and 0.15% of this type of nails produced by companies A, B and C, respectively are defectives.
i) Construct a tree diagram for this question.
ii) What is the probability that a randomly chosen nail is produced by company A and is defective?
iii) What is the probability that a randomly chosen nail is defective?
iv) What is the probability that a randomly chosen nail is defective given that the nail is produced by company A?
v) What is the probability that a randomly chosen nail is produced by company A given that the nail is defective?