Step 1 :Calculate the total number of ways to select two group members from the political discussion group using the combination formula: \(C(14, 2) = 91\)
Step 2 :Calculate the number of ways to select an Independent and then a Democrat: \(C(5, 1) \times C(6, 1) = 30\)
Step 3 :Calculate the probability by dividing the number of ways to select an Independent and then a Democrat by the total number of ways to select two group members: \(\frac{30}{91}\)
Step 4 :Simplify the fraction if possible: \(\frac{15}{91}\)