Question

A factory has two machines that produce bolts. Machine 1 produces 60% of the daily output of bolts, and 3% of its bolts are defective. Machine 2 produces 40% of the daily output, and 2% of its bolts are defective.

(a) Draw a tree diagram based on the probabilities given above. Label each event and probability indicated in this tree.

(b) What is the probability that a bolt selected at random will be defective?

Answer 1