• 100% Satisfaction Guarantee
Viki, Internet Researcher
Category: General
Satisfied Customers: 860
Experience:  I have eleven years experience writing statewide educational tests for all levels.
1680453
Viki is online now

# In one town, 31% of all voters are Democrats. If two voters

In one town, 31% of all voters are Democrats. If two voters are randomly selected (with replacement) for a survey, find the probability that they are both Democrats.

Express your answer as a decimal rounded to the nearest three decimal places.

Hi-

31/100 of all voters are Democrats.

Pick the first person and the probability of selecting a Democrat is 31/100. Then the voter is tossed back into the pool of possible candidates for selection. You pick the second voter and the probability is again 31/100. Because you only have to be concerned with the cases in which you picked a Democrat the first time, you multiply the likelihood of getting second Democrat (31/100) by the proportion of the time you selected the first Democrat (31/100)

so, 31/100 x 31/100 = 961/10,000= .0961 or .096 (rounded)