The probability that a machine does not coat a SNAP bar adequately, therefore producing a defective product, is 0.08. The probability that it does not coat a BUZZ chocolate bar adequately is 0.11.

On any day the machine coats 250 SNAP bars and 500 BUZZ BARS.

A chocolate bar is chosen at random from the production line. Draw a tree diagram to illustrate the situation and find the probability that a chocolate bar chosen at random is:

a) a BUZZ chocolate bar.
b) a SNAP chocolate bar and it is defective.
c) defective given that a SNAP bar is chosen.

Question

The probability that a machine does not coat a SNAP bar adequately, therefore producing a defective product, is 0.08. The probability that it does not coat a BUZZ chocolate bar adequately is 0.11.

On any day the machine coats 250 SNAP bars and 500 BUZZ BARS.

A  chocolate bar is chosen at random from the production line. Draw a tree diagram to illustrate the situation and find the probability that a chocolate bar chosen at random is:

a) a BUZZ chocolate bar.
b) a SNAP chocolate bar and it is defective.
c) defective given that a SNAP bar is chosen.