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This question is worth 4+2+2=8 marks

We have two boxes. Box A contains two red balls and four white balls; Box B contains four red balls and one white ball. I toss a coin; if it comes down heads, I choose Box A, if it comes down tails, I choose Box B. From the chosen box I take two balls without replacement. 

a.  Draw a tree diagram to illustrate this experiment.  

b. What is the probability the two balls are of different colours?

c. What is the probability the two balls are of the same colours?