In a state legislature the elected representatives include 19 Democrats, 14 Republicans, and 3 Independents. What's the probability that a random selection of 6 legislators would include 2 of each?

Several paint mixtures are made by mixing blue paint and white paint. paint colors blue paint white paint mixture a 5 cups 12 cups mixture b 6 cups 6 cups mixture c 4 cups 12 cups mixture d 5 cups 6 cups which mixture has the highest ratio of blue paint to white paint