Two identical bags A and B contained identical balls. Bag A has 5 yellow balls and 2 red balls. Bag B has 4 yellow balls and 3 red balls. Two balls are drawn from each bag without replacement.

- Draw a tree diagram to illustrate the above information
- Find the probability that;
- Both balls are yellow
- The first ball is red and the second yellow
- A red and yellow balls are picked
- At least one ball is red