Suppose that 14 school children line up in random order up for a vaccine, 2 in grade 1, 6 in grade 2, 2 in grade 3 and 4 in grade 4 in such a way that all arrangements are equally likely.

3) Given the event G = "all of the grade 1 children are in the first half of the line", what is the probability of the event H ="children from the same grade are at the front and the back of the line"?

4) Is the event G independent of the event H? Justify your answer