There are two bags of counters, bag $$\(\mathbf{X}\)$$ and bag $$\(\mathbf{Y}\)$$. There are 20 counters in bag $$\(\mathbf{X}\)$$. 11 of the counters are blue and the rest are red. There are 16 counters in bag $$\(\mathbf{Y}\)$$. 9 of the counters are blue and the rest are red. Arkady takes at random a counter from bag $$\(\mathbf{X}\)$$ and takes at random a counter from bag $$\(\mathbf{Y}\)$$. (a) Complete the probability tree diagram. bag $$\(\mathbf{X}\)$$ bag $$\(\mathbf{Y}\)$$ (3)

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