Use the method of your choice to determine the probability below. Randomly meeting either a woman or a Republican in a group composed of 20 Democratic men, 30 Republican men, 60 Democratic women, and 50 Republican women. The probability is $\square$. (Type an integer or a simplified fraction.)

Step 1 ：First, calculate the total number of people in the group. This is the sum of Democratic men, Republican men, Democratic women, and Republican women, which is \(20 + 30 + 60 + 50 = 160\).

Step 2 ：Next, calculate the number of people who are either a woman or a Republican. This is the sum of Republican men, Democratic women, and Republican women, which is \(30 + 60 + 50 = 140\).

Step 3 ：Then, calculate the probability of randomly meeting either a woman or a Republican. This is the ratio of the number of people who are either a woman or a Republican to the total number of people in the group, which is \(\frac{140}{160} = 0.875\).

Step 4 ：Finally, simplify the probability to a fraction. The simplified fraction is \(\boxed{\frac{7}{8}}\).