14 Mr Jones has 3 tins of beans and 2 tins of pears. His daughter has removed the labels for a school project, and the tins are identical in appearance. Mr Jones opens tins in turn until he has opened at least 1 tin of beans and at least 1 tin of pears. He does not open any remaining tins.
- Draw a tree diagram to illustrate this situation, labelling each branch with its associated probability.
- Find the probability that Mr Jones opens exactly 3 tins.
- It is given that the last tin Mr Jones opens is a tin of pears. Find the probability that he opens exactly 3 tins.