Question

Two students, Clumsy and Sleep are stocking canned goods at the local store. On average, Clumsy drops and dents 2 out of every 10 cans, while Sleepy drops and dents one out of every 10 cans. Last week Clumsy stocked 180 cans form a new shipment of 300 cans and Sleepy stocked the remainder of the shipment. The manager sees a newly dented can and removes it form the shelf.

a) Draw a tree diagram to illustrate the situation.

b) Assuming that all dents are caused by either Clumsy or Sleepy what is the probability that the can the manager remove form the shelf was dented by Sleepy?

Answer 1