Question

N one town, 44% of all voters are democrats. If two voters are randomly selected for a survey, find the probability that they are both democrats. Round to the nearest thousandth if necessary.
a. 0.194
b. 0.440
c. 0.189
d. 0.880

Answer 1

Answer- The probability that they are both democrats = 0.194

Solution-

In the town, 44% of all voters are democrats, i.e the probability of selecting one democrat is 0.44.

And it is not mentioned explicitly in the problem, about the total number of people in the town, so the probability of selecting the second democrat will remain the same  i.e 0.44

Hence, for two random selections, the two selections are independent of each other,  so

the probability of getting two democrats will be = 0.44×0.44 = 0.1936 $\approx$ 0.194