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Suppose that couple will have three children. Letting B denote aboy and G denote a girl:a. Draw a tree diagram dpicitng the sample space outcomes for thisexperiment.b List the sample space outcomes that correspond to each of thefollowing events:(1) All three children will have the same gender.(2) Exactly two of the three children will be girls.(3) Exactly one of the three children will be a girl.(4) None of the three children will be a girl.c Assuming that all sample space outcomes are equally likely findthe probability of each of the events given in part b.