1.The Game says: If you get two blues you win $3; if you get two red, you win $0.25; if you get two beads with different numbers, you lose $1.

Are you going to play? Which way will lead you to lose the game and by how much? Which leads you to win the game and by how much? construct probability distribution and work out the expected values under Way 1 and Way 2 respectively.

2.Suppose there are 1,000,000 families that have 2 daughters and 1 son in a state. All children are born in different years. How many of these families have the two daughters' birthday the same as their mother's?