3 [20 points (10,10)]: Thinking Independently. 1. A fair coin is flipped 4 times. Let E be the event that the first flip is heads. Let F be the event that the coin landed on heads an even number of times. Are E and F independent? Show your work. 2. A family has three children. Assume that having either a boy or a girl is equally likely. Let the event E be the event that the family has children of both sexes, and F be the event that the family has at most 1 boy. Are the events E and F independent